IN MEMORIAM
FLOR1AN CAJORI
LETTERS
ON
SCIENTIFIC SUBJECTS.
" I am fully perswaded that our countrie is not inferiour to any for men of rare
knowledge, singular explication, and exquisite execution of the artes mathema-
ticke, for what strangers may be compared with M. Thomas Digges, Esquire, our
countryman, the great master of archmastrie ? and for theoretical speculations and
most cunning calculation, M. Dee and M. Thomas Heriotts are hardly to be
matched." — The Seaman's Secrets, by John Davis, 1594.
f^tstorical ^ocietp of
COLLECTION OF LETTERS
ILLUSTRATIVE OF THE PROGRESS
OF
SCIENCE IN ENGLAND
FROM THE REIGN OF
QUEEN ELIZABETH TO THAT OF CHARLES THE SECOND.
EDITED BY
JAMES ORCHARD HALLIWELL," ESQ., F.R.S.,
F.S.A., F.R.A.S., &c. &c. &c.
LONDON:
PRINTED FOR THE SOCIETY,
BY R. AND J. E. TAYLOR, RED LION COURT, FLEET STREET.
M.DCCC.XLI.
tol J
c, ••
THE
HISTORICAL SOCIETY OF SCIENCE.
1840-41.
PRESIDENT.
HIS ROYAL HIGHNESS THE DUKE OF SUSSEX,
K.G., K.T., G.C.H., D.C.L., F.R.S., &c., &c., &c., &c.
VICE-PRESIDENTS.
THE RIGHT HON. THE EARL OF MUNSTER, F.R.S.
THE RIGHT HON. LORD HOLLAND,, F.R.S.
THE RIGHT REV. THE LORD BISHOP OF DURHAM, F.R.S.
SIR ROBERT HARRY INGLIS, BART., M.P., LL.D., F.R.S.
SIR GEORGE T. STAUNTON, BART., M.P., D.C.L., F.R.S.
THE RIGHT HON. SIR LANCELOT SHADWELL, V.C.
COUNCIL.
CHARLES PURTON COOPER, ESQ. Q.C., D.C.L., F.R.S., F.S.A.
THOMAS STEPHENS DAVIES, ESQ. F.R.S. L. & E., F.S.A. Pro-
fessor of Mathematics at the Royal Military Academy, Woolwich.
AUGUSTUS DE MORGAN, ESQ. V.P.R.A.S. Professor of Mathematics
at University College, London.
JAMES ORCHARD HALLIWELL, ESQ. F.R.S., F.S.A. Sec. 8f Treas.
REV. JOSEPH HUNTER. F.S.A., F.R.A.S.
SIR FRANCIS PALGRAVE, K.H., F.R.S.
THOMAS JOSEPH PETTIGREW, ESQ. F.R.S., F.S.A., F.L.S.
REV. BADEN POWELL, M.A., F.R.S. Savilian Professor of Geometry,
Oxford.
SIR J. GARDNER WILKINSON, F.R.S., M.R.S.L., F.G.S.
REV. ROBERT WILLIS, M.A., F.R.S. JacJcsonian Professor of Natural
and Experimental Philosophy, Cambridge.
THOMAS WRIGHT, ESQ. M.A., F.S.A.
JAMES YATES, ESQ. M.A., F.R.S., F.G.S.
918191
PREFACE.
THE contents of the present volume are so very
miscellaneous, that it would be a difficult task to
give a satisfactory analysis of them within the limits
of a few pages. Perhaps it may be sufficient to state
that the Editor has endeavoured to form such a collec-
tion of early letters on scientific subjects as would be
likely to assist any future author of a critical history
of English science, and that from the very limited
number of such letters which now remain he has at-
tempted a selection which he thinks will be consi-
dered a valuable addition to the few materials of this
class already published. The libraries of the British
Museum, Sion College, Lambeth, and Oxford have
been found to contain documents suitable for this
purpose, and the reader will find that the following
volume includes letters from all these depositaries.
To the cursory reader any illustration of the pro-
gress of science in this country during the reign of
Elizabeth will be a novelty ; and even those who have
paid more particular attention to the subject will, we
think, be surprised to find scientific correspondence
Vlll PREFACE.
of so early a date still preserved. Thanks to the
venerable Lord Burghley, a few fragments are still
preserved, which, though often individually of no
great importance, are very curious illustrations of
the state of English science at that period. For
instance, the letter of Emery Molineux to Lord
Burghley, printed at p. 37, is in itself of little in-
terest or value ; but when joined with the fact that
it is the only known memorial respecting one who
was distinguished as the first mathematical instru-
ment-maker* of his day, it becomes a document at
once curious and valuable, and well worthy of pre-
servation in an available form.
Before the publication of a very able and interest-
ing paper on the early English mathematical and
astronomical writers in the Companion to the British
Almanac for 1837, written by Professor De Morgan,
nothing had been attempted towards even a connected
sketch of the scientific labours of our countrymen
during the latter half of the sixteenth century. "Far
from having," says Professor De Morgan, " such a
work as those of Montucla or Delambre in our lan-
guage, we have not even a chronological compendium
like that of Weidler, Heilbronner, or Gerard Vossius."
But necessarily imperfect in its details as Prof, de Mor-
gan's sketch is, yet it may fairly rank with its conti-
nental companions, and gives, we may safely say, a
* Davis, in the Seaman's Secrets, 4to. Lond. 1594, bestows the
like praise upon him. According to Maunsel's Catalogue he was
the author of a treatise on the use of the globes, but I have never
been fortunate enough to meet with a copy.
PREFACE. IX
correct and impartial account of almost every work
that holds any importance either among the discove-
ries or mere elementary assistances of science. If we
add to this, three articles in the Magazine of Popular
Science, by the Editor of this volume, we shall have
enumerated, we believe, every published contribution
to the subject. It may, however, be mentioned, that
Mr. Hunter discovered that John Field and John
Dee adopted the Copernican system as early as 1556 ;
and Professor De Morgan has shown that Robert
Recorde was a convert to the heliocentric theory at
nearly the same period. But these discoveries seem
to have attracted little attention from scientific men,
either on account of that lamentable apathy towards
matters of history which is too frequently character-
istic of the lover of demonstration, or perhaps, let us
hope, from a want of some general channel of com-
munication, such as the Historical Society of Science
now affords.
The letters of Sir Charles Cavendish, which are,
with two or three exceptions, now published for the
first time, will, we think, enable the reader to form a
tolerably correct idea of the extent to which the study
of analytical science was then carried in England. If
we give a glance at the state of this branch of science
a short time anterior to that period, we shall be rather
at a loss to account for the number and success of its
English cultivators, who seern to have arisen on a
sudden and at the same time with efforts sufficient to
produce works equalling, if not surpassing, those of
their continental neighbours.
X PREFACE.
Robert Recorde may be considered as the founder of
analytical science in England. The author of the
first English work on algebra (1557) has not, how-
ever, as might have been expected, produced a mere
elementary compilation, but a work that ranks, for
originality and depth, with the ablest foreign contem-
porary productions on the same subject. What is
rather inexplicable, this book by Recorde appears an
oasis in a century deficient in this science, and no
Englishman is known to have pursued the study of
algebra to an equal extent before the time of Harriot.
With the exception of a trifling essay by Thomas
Digges in the Stratioticos, and a few memoranda in a
MS. of Blagrave's in Lambeth Palace*, we scarcely
know of anything connected with this branch of
science that is worthy of notice, and even these in-
clude only the simplest elementary principles.
It is somewhat remarkable that this dearth of ana-
lytical science was not the result of a prejudice in
favour of the geometry of the ancients. We have,
it is true, an elaborate edition of Euclid by Dee and
Billingsley, but with this the taste for geometry ap-
pears to have expired. We do not find that Harriot
and the contemporary English analysts were fettered
by a prejudice in favour of the old geometry, such as
for a length of time pervaded the writers of the con-
tinent; although, indeed, it appears from Harriot's
* This is No. 280, which is classed anonymously in the printed
catalogue. Blagrave has given in this volume the well-known al-
gebraic question relating to the cocks of a cistern, besides several
astronomical notes. It appears that Blagrave studied under John
Field, whom we have mentioned above.
PREFACE. XI
papers in the British Museum that he was well ac-
quainted with Pappus and other geometrical works
which had then been recently published abroad.
There is a remarkable note of Sir Charles Cavendish
at p. 84, who says, " Dr. Jungius prefers the analitics
of the ancients before Vieta's by letters, which he saies
is more subject to errors or mistakes, though more
facile and quick of dispatch, but I conceive not yet
whye." This serves to show that the ro^og avaXvopwog
of the Alexandrian school still held its sway in the
minds of foreign mathematicians, notwithstanding the
writings of Vieta and Descartes ; but we find no traces
in this country of its influence over the new analysis
before the time of Robert Simson, that is, nearly a
century afterwards.
The science of the seventeenth century possessed
one feature which is now obsolete, and which pro-
bably contributed, in a great measure, to preserve
and foster a taste for analytics. We allude to the
practice of publicly proposing problems for solution
— a kind of challenge from individuals to the science
of all Europe — and thus exciting an emulation which,
perhaps, would otherwise not have been felt. The
superiority of the new analysis over the ancient geo-
metry was soon acknowledged, and although some
questions were required to be solved geometrically,
yet mathematicians soon evinced their dislike to a
system of attaining by a long and tedious method
that which was often capable of speedy and easy re-
solution by another analysis. Specimens of these
challenges are preserved among Pell's papers in the
Xll PREFACE.
British Museum, printed on narrow slips of paper,
and evidently intended to be pasted pro bono publico
in conspicuous situations. We have little doubt that
the celebrated problem, generally known as Colonel
Titus's problem, was originally proposed in this man-
ner. We have already intimated that this problem
is attributed to the wrong person*, and we have since
discovered a note in MS. Birch, 4411, which ex-
pressly states that it was " put by Colonel Titus, who
had received it from Dr. Pell." The problem in the
most general form is as follows :
a* + bc=a (in
b2 + a c = j3 (2) I to find a, b, and c.
c2 + a& = 7(3)J
Collins has given a solution which occupies four-
teen closely written folio pages, and the more modern
solutions have not been comprised in a much shorter
compass. Wallis's solution is in the same manu-
script. Pell, however, criticises Collins's solution
very severely, and ridicules him for not observing
that the roots will admit both of positive and nega-
tive values.
The problem is generally given with numerical va-
lues for a, |3, and y, and the only possible chance of
a short solution is a case in which these numbers
bear some definite relation to each other, so as to ob-
tain an equation independent of the given quantities.
For instance, Pell gives one wherein a = 15, |3 = 16,
* Life of Sir Samuel Morland, p. 28.—" From No. 4413, fol. 24,
it appears that the problem generally ascribed to Colonel Titus was
proposed to Pell in 1 649 by William Brereton, who very probably
had it from Harriot."
PREFACE. Xlll
y= 17, in which case the problem remains in the
same position as before with regard to a solution ;
but it is singular that Pell's ingenuity should not
have suggested another method of solution in the
case which he gives where a = 7, /3 = 7, y = 1 1. In
this case we have
a2 — &2 = a c - b c = c (a — b)
or, a + b = c.
It is unnecessary to pursue this any further, for by
substituting this value of c in (3) and (2), and add-
ing the two equations together, we obtain 2 (a+&)2
= 18, or c = 3. The values of a and b are 1 and 2
respectively, and this is, perhaps, the simplest case
which could be selected.
To return to the contents of our volume. The
notes of inventions of Ralph Rabbards at p. 7, may
be noticed as somewhat similar to the far-famed
" Century of Inventions" of the Marquis of Wor-
cester. The number of such proposals is great, and
several seem to include discoveries generally consi-
dered as belonging to a more modern period*. The
letter of Tycho Brahe, at p. 32, may be mentioned
as a curious notice of the intercourse between the
mathematicians of this and foreign countries. The
letters of Thomas Lydyat are more valuable for bio-
* For instance, Sir Samuel Morland's Tuba Stentorophonica may
have been anticipated by Henry Reginald, who, in the year 1603,
dedicated a book of inventions to King James, among which was
one " to convey the voice for a thousand paces without showing any
one near you were talking." — MS. Birch, 4384.
XIV PREFACE.
graphy than the history of science ; and yet we think
that they will be acceptable to the lover of familiar
history. Similar remarks may be made of others*.
In the appendix to Dr. Vaughan's ''Protectorate
of Oliver Cromwell," are printed several letters from
Pell's MS. collections, a few of which we have found
it necessary to reprint in this work. Unfortunately
no references whatever are given to the places whence
these letters are taken, and amidst the very numerous
volumes which compose Pell's collections, it is no
easy matter to find the deposit of any particular one.
Owing to this arrangement, we have been quite un-
able, although we have spared no exertions, to find the
original of a very curious letter which Dr. Vaughan
has printed at p. 347. It is written by Dr. Pell, and
dated Oct. 12th, 1642; and we are unwilling to
neglect the opportunity of extracting the following
passage : —
" I can hear of nothing of Vieta's in manuscript in England,
but such pieces of his as are already printed, and were trans-
cribed for the most part out of the printed books, because
they could not be had for money. Here is also a manuscript
of his not(B priores ad logisticen speciosam, transcribed many
years ago at Paris out of a written copy ; but since that time,
le Sieur de Beaugrand hath caused it to be printed in 24mo.
at Paris, anno 1631, with a few notes of his own thereon. It
* We have neglected to say in the proper place (p. 31), that " a
copie of the speache made by the mathematicall lecturer unto the
worshipfull company present, at the house of the worshipfull Mr.
Thomas Smith," was published at London in 1588, small 4to. From
the title-page to his treatise on the Cross-staf, it appears that Hood
was mathematical lecturer in 1596 ; but in his work on the Sector,
published in 1598, this title is omitted. We also omitted to remark,
that from MS. Harl. 7523, fol. 206, it appears that Pell in 1650 had
a design of publishing commentaries on the works of Descartes.
PREFACE. XV
is true I have in mine own hands an imperfect astronomical
manuscript of six sheets of paper, entitled Hypothesis Fran-
celidinis, said to be a piece of a great work of Vieta's, called
by him Harmonicum Coeleste, which may, perhaps, be found
complete in France, whence mine came. I have been told
here that the Englishman that, at the time of Vieta's death,
served him as a scribe, under the counterfeit name of John
Poltrier, being kindly offered by Vieta's heirs to take what he
pleased to keep as a remembrance of him, took not a leaf of
any of his writings. And Thuanus tells us that the heirs did
put all his papers in the hands of Peter Alelmus of Orleans.
I never enquired whether this Peter were the father to Jaco-
bus Alelmus, the French king's engineer ; from whom, four-
teen years after Vieta's death, Alexander Anderson acknow-
ledgeth that he had those two tracts, de tequationum recogni-
tions et emendatione, which he first published at Paris, anno
1615. And though it is likely that Monsieur Aleaume (for
so I think the French call him) be now dead, yet I hope a
diligent enquirer may learn who was his heir, and what is
become of Vieta's Adversaria."
We consider this a most important testimony in
favour of Nathaniel Torporley, who, according to
Anthony a Wood, attacked Vieta under the name
of Poultry. We now see the truth through Wood's
mistake, — a mistake that has puzzled Professor Ri-
gaud and other writers on the scientific history of this
period. Perhaps Poltrier may be a mistake for Pol-
troyer, and intended for an anagram of tbe name of
Torporley. This letter is also curious for the men-
tion of Vieta's Harmonicon Cceleste, which has been
but recently discovered, and is now in the course of
publication at Paris by M. Libri.
We cannot conclude these few memoranda without
offering our respectful thanks to His Grace the
Archbishop of Canterbury, who, with the greatest
liberality, has afforded us every facility for consulting
the manuscripts in the library at Lambeth Palace.
XVI PREFACE.
The Historical Society of Science is indebted to
J. H. C. Wright, Esq., of St. John's College, Cam-
bridge, for the transcripts of several of the letters
contained in this volume, which were most kindly
presented to the Society by that gentleman, whose
zeal and knowledge of science and its history are de-
serving of the highest praise.
J. O. HALLIWELL.
35, Alfred Place, Jan. 15, 1841.
CONTENTS.
No. Page
1. Richard Eden to Lord Burghley, Aug. 1st, 1562 ... 1
2. Thomas Digges to Lord Burghley, May 14th, 1574 . . 6
3. Ralph Rabbards to Queen Elizabeth, 1574 7
4. Dr. John Dee to Lord Burghley, Oct. 3rd, 1574 ... 13
5. Humphrey Cole to Lord Burghley, Dec. 4th, 1578 ... 18
6. Instructions by Dr. John Dee, May 15th, 1580 .... 20
7. Stephen Powle to Mr. West . 21
8. Lord Burghley 's memorial concerning Dr. John Dee's opi-
nion on the reformation of the calendar 30
9. Thomas Hood to Lord Burghley 31
10. Tycho Brahe to Thomas Savelle, Dec. 1st, 1590 ... 32
11. John Bulkeley to Thomas Harriot, Feb. 28th, 1591 ... 34
12. Edmund Jentill to Lord Burghley, Oct. 1st, 1594 ... 35
13. Inventions by Edmund Jentill 36
14. Henry Marshall to Lord Burghley, June 1st, 1595 ... 37
15. Emery Molineux to Lord Burghley, 1596 ib.
16. William Lower to Thomas Harriot, March 4th, 1611 . . 38
17. The same to the same, April 13th, 1611 41
18. The same to the same, July 19th, 1611 42
19. Thomas Aylesburie to Thomas Harriot, April 15th, 1613 . 43
20. John Rudston to Thomas Harriot, June 9th, 1615 . . . ib.
21. Thomas Aylesburie to Thomas Harriot, Jan. 19th, 1619 . 44
22. Thomas Harriot to the Duke of Northumberland, June 1 3th,
1619 45
23. Samuel Turner to Thomas Harriot 46
24. Henry Briggs to Thomas Lydyat, July llth, 1623 . . . ib.
b
xviii CONTENTS.
No. Page
25. Thomas Lydyat to Henry Briggs, July 4th, 1623 ... 47
26. Thomas Man to Thomas Lydyat, April 19th, 1625 ... 49
27. Thomas Lydyat to Thomas Man, May 12th, 1625 ... 50
28. Thomas Lydyat to Sir Henry Martin, Oct. 17th, 1626 . 54
29. Henry Briggs to John Pell, Oct. 25th, 1628 55
30. Thomas Lydyat to Henry Briggs, Oct. 31st, 1628 ... 58
31. A paper on the weight of water by the Duke of Northum-
berland 59
32. Christopher Potter to William Boswell, Mar. 28th, 1632 . ib.
33. Thomas Lydyat to William Boswell, April 4th, 1632 . . 61
34. Thomas Lydyat's petition to Charles the First .... 63
35. Thomas Lydyat to the Archbishop of Canterbury ... 64
36. Walter Warner to Robert Payne, Oct. 17th, 1634 ... 65
37. Robert Payne to Walter Warner, June 21st, 1635 . . . ib.
38. Sir Charles Cavendish to Walter Warner, May 2nd, 1636. 66
39. The same to the same, Sept. 2nd, 1636 .67
40. Robert Payne to Walter Warner, Oct. 3d, 1636 .... ib.
41. Thomas Lydyat to Mr. Rouse, Aug. 2nd, 1638 .... 70
42. Nathaniel Torporley to the Duke of Northumberland,
July 5th, 1632 71
43. Sir Charles Cavendish to John Pell, Jan. 8th, 1641 ... 72
44. The same to the same, Feb. 5th, 1641 ib.
45. The same to the same, June 26th, 1641 73
46. The same to the same, July 24th, 1641 . . ; . . . . ib.
47. The same to the same, Nov. 20th, 1641 74
48. The same to the same, Dec. 18th, 1641 ib.
49. Robert Pink to Thomas Lydyat, Nov. 13th, 1641 ... 75
50. Sir Charles Cavendish to John Pell, Jan. 20th, 1644 . . 76
51. The same to the same, Jan. 31st, 1644 ib.
52. The same to the same, March 26th, 1644 77
53. The same to the same, July 26th, 1644 78
54. The same to the same, Aug. 18th, 1644 79
55. John Pell to Sir Charles Cavendish, Aug. 7th, 1644 . . ib.
56. Sir William Petty to John Pell, Aug. 14th, 1644. ... 81
57. Sir Charles Cavendish to John Pell, Aug. 26th, 1644 . . 83
CONTENTS. XIX
No. Page
58. Sir Charles Cavendish to John Pell 84
59. The same to the same, Oct. 20th, 1644 85
60. The same to the same, Nov. 16th, 1644 86
61. The same to the same, Dec. 20th, 1644 ib.
62. The same to the same, Dec. 27th, 1644 87
63. The same to the same, June 27th, 1645 88
64. John Pell to John Leake, Aug. 7th, 1645 89
65. Sir William Petty to John Pell, Nov. 8th, 1645 .... 90
66. Henry Power to Sir Thomas Browne, June 13th, 1646 . 91
67. The same to the same, Feb. 10th, 1647 92
68. William Oughtred to Mr. Greatorix, Dec. 19th, 1652 . . 93
69. H. Thorndike to John Pell, Dec. 23rd, 1652 ..... 94
70. List of Mr. Warner's papers 95
71. Anthony Thompson to John Pell, Nov. 22nd, 1658 . . . ib.
72. Pell's relation of a meeting with Hobbes, March 31st, 1662 96
73. Thomas Brancker to John Pell, May 9th, 1666 . . . . 97
74. The same to the same, June 21st, 1666 98
75. The same to the same, July 6th, 1666 99
76. Christopher Sawtell to William Lilly, Aug. 6th, 1666 . .101
77. Thomas Brancker to John Pell, Aug. 17th, 1666 . . . 102
78. John Pell to Moses Pit, June 3rd, 1668 103
79. Henry Oldenburgh to Lord Brereton, Sept. 22nd, 1668 . 104
80. Michael Dary to John Collins, Feb. 8th, 1675 . . . .105
81. Note on solving equations by John Pell, May 20th, 1675 . ib.
82. John Collins to Mr. Oldenburgh, May 25th, 1675 ... 106
83. Sir Samuel Morland to John Pell, May 13th, 1682 . . .107
84. Appendix 109
LETTERS ON SCIENTIFIC SUBJECTS.
RICHARD EDEN TO LORD BURGHLEY.
[MS. Lansd. No. 101. Art. 5. Orig.]
August 1st, 1562.
only searcher of mens harts, the eternall God, I take
to wytnesse (right honorable) that never the greefes of
adverse fortune (wherof I have had my parte) dyd so muche
prostrate my mynde and pearce my harte with sorowes, as
the understondinge of your honours favour and goodnesse
towarde me in your lately ernest travaile in my behalfe (as I
was informed by the Mr of Savie) hathe rejoised me and re-
vived my discouragied spirites, heretofore no lesse languysshed
for lacke of suche a patrone, then nowe encouraged by the
favoure of suche a Maecenas, as I have just cause to name
your honoure. Syth only the respecte of suche vertues as it
hathe pleased yow to thinke commendable in me, hath moved
your honour not only in maner to seeme carefull for me howe
I maye hereafter with quietnesse spende my tyme in studie,
as is my most desire ; but also to be more ernest in folow-
ing the same, then I might without presumption demaunde,
and muche lesse without desertes dequire. As touchinge the
which matter (right honourable) as it was no parte of my divise,
but suche as the Mr of Savoy had then in hande, as I sup-
pose no lesse to pleasure hymselfe and his frende then for
£20 therof to be lotted to me for an earnest penye to begyne
the booke (as he saith). Even so am I right sorie that for
so smaule a matter, and not so favorable a sute as I wolde
have wysshed, not only your honour hathe taken suche
paynes, but that also suche contention is rysen therof be-
twene the Mr of Savoy and Mr Baptist of the privie chamber,
that by reason thereof the pardon being steyed be your Ho-
nour, the younge gentleman his kynsman (as he hathe in-
formed me) is in daungiour of his lyfe. But under your
B
LETTERS ON SCIENTIFIC SUBJECTS.
honours favour to speaks playnelye
that her# vliquid Jatztl^y&'f non app
as I thinke, I suppose
apparet. For as this sute,
for dyvers consyd£i;aitions? at the first dyd not greatly like
me, y^t iperj^vfeigej h,i$ ; emestnesse therein, for the safe-
garde of his kinsmans life and gratifying his frendes, I, no
lesse willing therin to do hym pleasure, also was well con-
tented to assent to his request, and to stande to his appoynt-
ment ; not suspecting his frendeshippe, but rather commend-
ing his wysdome, so to doo for his frende as therwith not to
forget hym selfe, quid nihil sapit qui sibi non sapit. But if at
that tyme I might so boldelye have presumed uppon your
honours favour, as by your ernestnesse in my behalfe I nowe
perceave I might have doune, I wolde have moved your
Honour of an honester sute (for a lease to be had at the
Queenes hands) whereof I made hym privie, and wras lorige
sense so mynded to have donne, but that he deterred me
frome the same, alleaging certen commissionars to have the
doinges therof, and that therfore no suche thing might be
had at her Majesties handes: albeit, I have sythens harde
of dyvers that have obteyned the like. Notwithstanding (as
in my former letters I wrotte to your honour) my meaning is
so to move your honour hereof, as neyther to be an impor-
tunate suter, or otherwise to thinke the same to be folowed
then shall seeme good unto your honour, unto whose will I
submitte myselfe in all thinges ; only putting your honour
in remembruance of the commodious place and tyme that I
nowe enjoye for that purpose : for the contynuance wherof, I
was a suter unto your Honour for your letters unto the gen-
tleman (my frende) in whose house I yet remayne, who also
being one that favoureth learninge and my greate frende, and
no lesse gladde to further so good a purpose, is well willing
the rather to my use to departe frome a piece of his commo-
ditie, in suche sorte as appeareth by the byll herein inclosed.
Whereof further to advertyse your honour, if you shall so
thinke it convenient, he will himselfe repayre unto your ho-
nour to give you perfecte informacion of alle thinges as
touching the same. And wheras the Mr of Savoy e tolde me
that your honour sumwhat doubted that the booke coulde
not be translated into the Englisshe toonge, I assure your
honour that this I dare saye without arrogancie, that to
translate the variable historie of Plinie into our toonge, I
wolde be ashamed to borowe so muche of the Latine as he
dothe of the Greke ; althowgh the Latine toonge be accompted
ryche, and the Englysshe indigent and barbarous, as it hathe
byn in tyme past muche more then it nowe is, before it was
enriched and ampiyfied by sundry bookes in maner of all
LETTERS ON SCIENTIFIC SUBJECTS. 3
artes translated owt of Latine and other toonges into En-
glysshe. And it is not unknowen unto your Honour that
the Latins receaving bothe the science of philosophic and
phisike of the Grekes, do still for the most parte in all ther
translacions use the Greke names, insomuche that, for the
better underston ding of them, one Otto Brumfelsius, a learned
man, hathe writen a large booke intiteled, Onomasficon Medi-
cine, where he hathe these woordes, Res ipsas atque artium
vocabula, scite, apposite, designateque efferre, atque ad Poly-
cleti regulam (quod aiunt) exprimere, res est non minus difficilis
quam gloriosa. Quo, nullum studii genus majori constat mo-
lestia. Id quod in causa esse reor, quia hodie tarn pauci in ea
palestra sese exerceant, fyc. Agen, it is not unknowen unto
your honour that ons all toonges were barbarous and needie,
before the knowleage of things browght in plentie of woordes
and names ; wherby it maye well appease that men, in the
first age of the worlde5 had a shorte language consistinge of
fewe woordes, which ever after increased by the knowleage
and invention of thinges. Exercise also maketh suche
woordes familier, which at the first were diificulte to be un-
derstode ; for children at the first (as saithe Aristotle) caule
all men fathers : but shortely after by exercise caule them by
there names. And I have learned by experience that the mary-
ners use manye Englysse woordes, which were as unknowen
unto me as the Chaldean toonge before I was conversant with
them. It maye therefore suffice that the woordes and termes
of artes and sciences be knowen to the professours therof. as
partely by experience and partely by the helpe of dictionaries
describing them per proprium genus et differentiam, as the
logitians teache, and as Georgius Agricola useth to do in the
Germayne toonge, which, as well in that parte of philosophic
as in all other, was barbarous and indigent before it was by
longe experience browght to perfection. But not to trouble
your honour any longer with this matter, one thinge re-
mayneth wherof I wrolde gladlye have certified your honour
at my last being at the courte at Grenewich, if I might have
had convenient accesse unto yow; And this is, that, per-
ceavinge your honour to take pleasure in the wonderfull
woorkes of arte and nature (wherin doubtlesse shyneth the
sparke of the divine spirite that God hathe gyven you) I was
then mynded to have delyvered unto your honour this phi-
losophicall booke, wherin is described (as appeareth in folio
ij.) so excellent and precious an experiment, wrought by arte
to the similitude of the universall frame of the worlde, made
by the omnipotent and greate God of nature, that I beleve
the like wras never doonne synse the creacion of the worlde.
LETTERS ON SCIENTIFIC SUBJECTS.
And maye therfore in my judgement more woorthely be
cauled Michrocosmos , then eyther man or any other creature
that ever was made of corporall substance. Angelus Poli-
tianus in his epistells describeth an instrument cauled auto-
maton made in his tyme in the citie of Florence, observing
the exacte moving of Primum Mobile and Octava Sphcera,
with also the movinges of the 7 planetes in there spheres, in
all poyntes agreable to there moving in the heaven. Of the
like instrument also our Roger Bacon wrotte longe before in
his booke de Mirabili pot estate artis et naturae*, where he
writeth in this maner, Majus omnium figurationum et rerum
figuratarum est, ut cceleslia describerentur secundum suas lon-
gitudines et latitudines in fiaura corporali, qua moventur cor-
poraliter motu diurno, et hose valere[n\t regnum \unum~\ ho-
mini sapienti, ^c. The which instrument doubtlesse, all-
thowgh it be of a divine invention, yet dothe this Michrocos-
mos so far surmount it, as nature passeth arte, and as motus
animalis passeth motus violentus, for as the other is moved
only by waight or wynde inclosed (as is scene in clockes and
organs) so is this moved by the same spirite of life, wherby
not only the heaven, but also all nature, is moved: whose
mover is God hymselfe, as saithe St. Paule, Ipsus est in quo
vivimuSy movemur, et sumus; as also Aristotle, Plato, and
Philo, in there bookes De Mundo, do affirme ; and especially
Marcus Manilius in Astronomicis ad Augustum Caesarem,
writing thus :
Hoc opus immensi constructum corpore mundi,
Membraque naturae diversa condita forma,
Ae'ris atque ignis terrae pelagique jacentis,
Vis animae divina regit ; sacroque meatu
Conspirat Deus, et tacita ratione gubernat,f &c.
Item Lucanus :
Acre libratum vacuo quae sustinet orbem,
Totius pars magna JovisJ.
And wheras the autoure that describeth the Michrocosmos
affirmeth that the Chaos therof is materia Lapidis Philoso-
phorum (which is also Chaos, vel omnium, vel prima materia
mundi majoris) it seemeth to agre with that Cornelius Agrippa
hathe written in his seconde booke De occulta philosophia, in
scala unitatis, where he wryteth thus : Lapis philosophorum
est unum subjectum et instrumentum omnium virtutum natura-
C Hum et transnaturalium, $c. And that this greate and divine
secreate of this Michrocosmos maye not seeme incredible unto
* Edit. 1542, fol. 43, v°.
f Manilii Astronomicon, lib. i. 1. 247-251.
J Lucani Pharsalia, lib. v. 1. 94-95.
LETTERS ON SCIENTIFIC SUBJECTS. 5
your honour, t assure you that I, that am minimus philoso-
phorum, dyd long sense (as I have to wytnesse Mr. Thomas
Whalley, th' elder soonne of Mr. Richard Whalley) woorke
and secreate practise sumwhat like unto this, in maner as
foloweth* : — I dissolved two substances in two waters ; then
I put the waters togyther in a glasse, suffering them so to
remayne for a tyme. Then I stilled of the water from the
masse or chaos lefte of them bothe, and put it on agen, and
so dyd dyvers tymes. In fine, the masse being dissolved in
the water, I let it rest all night in a coulde place. In the
morning, I founde swymming on the water and in the myddest
therof a little round iland, as brode as riall or sumwhat more,
with at the least a hundreth sylver trees about an ynche high,
so perfectly formed with trunkes, stalkes and leaves, all of
most pure and glystering sylver, that I suppose no lymner
or paynter is able to counterfecte the like. Then shaking
the glasse, all fell in pieces into the water, and filled it with
glystering sparkes, as the firmament shyneth with starres in
a cleare wynter night. Then putting the glasse to a softe fyre
uppon warme asshes, all turned agen into clear water, which,
agen being put in a colde place all night, made an iland with
the like trees as before. What this wrolde have been in fine,
God knovreth, and not I ! But of this I am sure, that if the
floure or learning of our tyme, and sumtyme tutor and bro-
ther-in-law^ unto your honour, Mr. Cheeke, had scene any
of these two secreates, he wolde greatly have rejoysed. As I
knowe the divine sparke of knowleage that is in your honour,
partely receaved of hym, will move yow to doo the like, sythe,
to a philosophicall and vertuous man, there is nothing so de-
lectable as to beholde the infinite poure and wisdome of God
in his creatures, in the which his Deitie is not only visible,
but in maner palpable, as sum philosophers have written. *
And as touching these matters, I have red a marvelous sen-
tence in an olde written booke, where these woordes are
written : Qui potest facere mediam naturam, potest creare
mundos novos. But to discourse of this oracle, or to inter-
prete the same, it were to muche to molest your honour
therwith : and an argument muche meeter for a seconde So-
crates then for me. And of these secreates, writeth Roger
Bacon in his booke before alleaged, where he hathe these
woordes ; Multa sunt archana admiranda in operibus artis et
naturae : Quce licet multam utilitatem non habeant (habent vero
* Cf. Morieni Roman! de re metallica librum, 4to, Par. 1564, p. 30, et Chrysippi
Faniani de arte metallicse metamorphoseos librum, 4to, Par. 1560, p. 17. See also
Ripley's " Compound of Alchemy," where may be seen an account of a process very
similar to that mentioned by Eden.
0 LETTERS ON SCIENTIFIC SUBJECTS.
maximum ut sapientibus cognitum esf] tamen spectaculum m-
effabile sapientia prabent et possunt applicari ad probationem
omnium occultorum quibus vulgus inexpertum contradicit, et
judicat fieri per opera damoniorum, §c.
And thus most humbly desyring your Honour to pardon
my boldnesse in writing unto you ; and,, according unto your
accustomed clemencie, to accept in good parte this my pre-
sumptuous attempte, which only the love I beare to your
vertues hathe moved me unto, my trust is that these thinges
shall not be alltogyther unpleasaunt unto your honour, other-
wyse occupied in greate affayres bothe in the courte and
common wealthe, as was Plato with King Dyonisius, Ari-
stotle with greate Alexander, and Cicero Senator and Consul
of Rome.
The eternall God and immortall mover of the greate worlde
and the lesse, preserve your Honour in healthe and prospe-
ritie !
From the Folde bysyde Barnet, the first of August 1562.
Most bownde to your honour,
RICHARDE EDEN*.
THOMAS DIGGES TO LORD BURGHLEYf.
[MS. Lansd. No. 19, Art. 30. Grig.]
14th May, 1574.
Right Honorable, — As in your Lordshippes nrame astro-
nomicall, for ornament the ffigures of the most notable con-
stellations in this our visible hemisphere are pourtrayd,
adourned with ther due number of hevenly lights ; so, in
the tables adjoyninge, are impressed sutche numbers as de-
liver by methode not vulgare the situations and habite which
* Richard Eden was a philosopher of good repute in his time. He translated
into English, treatises on navigation by Cortes and Taisner, the former of which
was exceedingly popular and went through several editions. He is also the author
of a very curious little book entitled, " A Treatyse of the newe India," 1553, 8vo.
At the end of this letter he adds the following sentences in Latin : — 1. " Tuae D.
addictus, ah'os nonquseropenates." 2. "In secretis et occultis, secretus et occultus
esto." This lattter quotation is from Hippocrates.
f Thomas Digges ranks among the first English mathematicians of the sixteenth
century. Although he made no great addition to science, yet his writings tended
more to its cultivation in this country, during the reign of Elizabeth, than, per-
haps, all those of other writers on the same subjects put together. The work he
alludes to in this letter, if a printed one, is probably an edition of his father's
work, entitled " Prognostication Everlasting," one of which was published in 1574
and contains an addition by himself.
LETTERS ON SCIENTIFIC SUBJECTS. 7
our moovable horizon and meridian, together with ther ma-
nifold configurations, with the twoo cheefe lights. Where-
upon sundry conclusions, both pleasant for varietye of know-
ledge and necessary ffor common use, are grounded. Wherof
I have in 50 conclusions digested the greater part, with ther
historyes poeticall, and judgementes astronomicalle ; the
which, into a little treatize reduced, I am bould to offer unto
your Lordship, hopinge, ere it bee longe, to ffinishe a columne
sustayninge a regular body platonicall, garnished with solar
dialls, sutche as I thinke hitherto in this land hath not beene
scene, to bee placed in soome of your Lordshipps gardeyns,
as aptly serving for uses diurnall as that other frame for con-
clusions doon by night ; whose archetype was longe sithens
in mind conceyved, and have now at the last also attayned
the hand of an hable woorkman to exsequute the same in
ffoorme materiall. In the meane, I shall humbly desire your
Lordshipp in good part to accept this triflinge testimony of
a carefull mind desirouse soom waye to signifye the reverent
affection I have and shall duringe life beare toward you, no
lesse for private then publike respectes ; Always, as becoometh
mee, restinge,
At your Lordshippes commandment,
T. DlGGES.
To the right Honorable my Lord Burghley,
the Lord highe tresurer of England, these.
RALPH RABBARDS TO QUEEN ELIZABETH.
[MS. Lansd. No. 121. Art. 14.]
A coppie of notes delivered to her Majestie by Raphe
Rabbards*.
Speciall breife remembrances of such moste pleasante ser-
viceable and rare inventions as I have, by longe studdie and
chardgeable practice, founde out, the whiche I holde my-
selfe bounde in dutie to offer with this learned worke unto your
Majestie, as the firste fruites of my labor : the which, or any
parte thereof. I shal be reddy to performe and put in execu-
tion, at as smalle chardge and to as greate purpose as any
other ingeniors or practitioners of Christendome, when it
shall please your sacred Majestie to commaunde me, not he-
therto performed by any before my selfe.
* Ralph Rabbards is not a name that has much relation with the history of the
science or literature of this period. He edited Ripley's " Compound of Alchemy,"
4to, Lond. 1591.
LETTERS ON SCIENTIFIC SUBJECTS.
All kinde of waters of herbes and flowers are first distilled by
discensory.
Waters of purest substance from odors, flowers, fruites,
and herbes, wholsomest, perfitest, and of greatest vertue,
are first distiled by desensory, depured and rectified, clere as
christall, with his owne onlie proper vertue ; taste, and odor,
contynuinge many yeares. One spoonefull is better then a
gallon of other for any prynce, or noble person, or any that
love their healthe; for medicyne inward or outward where
other doe much more hurte then good, beinge unaptly dis-
tilled, and invenomed by the evill quallitie of mettalyne stilles,
and other defectes.
Simple and compound waters.
Water for odors, moste sweete and delicate, of many seve-
rall kyndes, bothe simple and compounde.
Water ofvioletts and suche like.
Water of violetts, jilly flowers, and pinckes, &c., contynue
not nor reteyne not their owne proper odors and vertues, ex-
cepte they be distilled very cunningly and perfitly by desen-
sory; or, their odors beinge holpen by other meanes, they
are not medicinable.
A precious water for purifying e and preserving e the teethe.
A moste precious and excellente water to purifie, preserve,
and fasten the teethe, and with good order to keep them that
they shall never decaye nor corrupte ; moste wholsome, plea-
sant, and comfortable.
A principall water for moste outward diseases proceeding e of
heate and colde.
A water that taketh awaye inflamations, rumes, swellinges,
colde greifes, colde gowtes, aches, and other paynes; and
healeth dangerous woundes, ulcers, sores, and the hardest
diseases, with greate effecte and wonderfull speede, and in
myne opinion farre exceedeth the farre fetched balmes.
Water for the eyes.
Waters for the eyes prooved of many as well for preser-
vinge and comfortinge the sighte, as to restore that which is
lost.
LETTERS ON SCIENTIFIC SUBJECTS. 9
Water to make the skynne and fleshe fay re and brighte.
Waters to dense and keepe brighte the skynne and fleshe,
and preserve it in his perfitt state.
SPECIALL OBSERVATIONS CONCERNINGE THE PREPARA-
TIONS FOR FIREWORKES.
An excellent e kinde of salt-peter of greate force.
Saltepeter mighte be so refyned that the powder made
therof mighte be of double the force, so that one pounde
maye serve as manye shotte and as stronge as two pounde
of that that is comonly used, and lesse chardge in cariage ;
and many other wayes apter and better for service.
A notable peece of service for your Majestic and the Realme.
That saltepeter, minerall sulphur, pitche, aspaltum, licqui-
dion, and drye, and many other like drugges, mighte be
founde in the domynions of your Majestic, which we wante
and paye most extreamely for ; and God knoweth what gayne
and glorie mighte redownde to your Majestic and countrey,
if skilfull and honest men were imployed therein.
Oyles for fireworkes.
Oyles bothe simple and composed to be distilled for fire-
workes, there is none to be boughte or had; he that will ha\e
them must make them.
A strange kinde of flyinge fire many wayes serviceable.
A flyinge fire which shall, without ordynance, and farre of,
wonderfully annoy e any battayle, towne, or campe, and di-
sperse even as if it did rayne fire ; and the devydinge fires,
being coted and made flyinge, maye touche many places, and
leave them all burninge; very terrible both to men and
horse.
A tridant or mace newly invented.
A tridant or mace for many notable effectes, bothe for
shotte, and to sette any thinge on fire ; a very apte instru-
mente, and moste soldierlike bothe for horsemen and foote-
men.
Balls of mettle serving to many purposes.
Balles of mettle to throwe into shippes, to enter in campes
in the nightes, likewise in streightes or breaches, especially
in battayles ; and to have the said balles of all heightes, dia-
10 LETTERS ON SCIENTIFIC SUBJECTS.
miters, and quantities, of a righte composition to devide in
as many partes, and of such thicknes as it should ; and to
delyver a thousand at once amorige the enemy es with small
chardge of ordynance, or other instrumentes, and to powre
as much fire as your Majestic will upon any place.
A shotte to fire in passinge.
A shotte for greate ordynance to pierce deeper then any
other shotte, and sett on fire whatsoever it strike throughe
or sticketh in. A moste noble ingen, specially for sea service.
A forcible chariot t for service defensive and offensyve.
A firy chariott with horses, suche as never was knowne or
hearde of, for any prynce or man of greate valor or vertue to
be in, in the feilde or battayle.
A firy chariott to be fore? d by engyne of greate service.
A firy chariott without horses to runne upon the battaile
and disorder it, that no man shal be able to abide or come
nighe the same, and wil be directed even as men will to
tourne, to staye, or come directly backe upon any presente
danger, or elies to followe and chase the enemye in their
flighte.
Mynes for fireworke to worke strange effect es.
Mynes of fire and fireworke, bothe for sea and lande, to
overthrowe or make havocke of all whatsoever a man will
destroy e.
A meanes to better the use of small artillery, moste
serviceable.
To make that smalle shotte shall doe greater execution
then the shotte that hath hetherto bynne knowne ; yet where
1000 are nowe shotte, and not 10 men fall, it will appeare,
by good demonstration and experience, that 10 shotte of 1000
shall hardly misse, good orders beinge observed.
A newe invented targett of proof e.
A targett of proofe, with his rest and loope hole, whereby
men are notably defended and encouraged to the attemptinge
of manye greate matters in service. Tenne of theis targettes
are sufficiente to defende an hundred shotte, as if they were
behinde a walle.
LETTERS ON SCIENTIFIC SUBJECTS. 11
A rare invention.
A muskett or calyver, with dyvers strange and forcible
shotte, which no armor will holde out, at three quarters of a
mile or more ; and will also become a most forcible weapon
in the hande, as good as a pollox, and, with a teice, become
a perfitt shotte agayne.
An armed pike most e forcible.
An arme pike which a weake man maye use or handle
very reddily with such force as a man will not thincke, and
the same pike will also become a very good shotte at all
tymes. But when they come to the very pushe they be
most terrible, bothe the shotte and the weapon.
An engyne of notable defence for the safegard of mens lyves.
A cariage in manner of a walle or curteyne to defende men
from shotte in approchinge any sconse or other force, and wil
be transformed into as many severall shapes of fortification as
men will ; and also be as tentes or lodginges drye above heade,
and from the grounde, and also very offensyve, and of greate
fury ; whereof I wishe your excellente Majestic were furnished,
but as secrette as I could keepe them in myne owne harte
for some greate daye of service.
A speciall peece of service.
A meanes whereby our plowe-horses, carte jades, and
hackneys, maye be made to doe greater service in our owne
countrey, then the launces, or argulaters, or any horsemen of
other nations, can possibly be able to doe in their ordinary
services.
The rarest engyne that ever was invented for sea service*.
A vessell in manner of a galley or galliotte to passe upon
the seas and ryvers without oars or sayle, against wynde and
tyde, swifter then any that ever hath bynne seene, of won-
derfull effect bothe for intelligence, and many other admi-
rable exploytes, almoste beyonde the expectation of man.
* See Rara Mathematica, p. 87. William Bourne mentions a similar invention
of his in the Inventions or Devises (Lond. 1578, 4to). How well does this meagre
description suit the modern steam-boat ! I may mention here that the invention of
paddle-wheels is ascribed to him by some writers, and he appears to consider them
as a new invention ; but there is a drawing of a boat with paddle-wheels, precisely
similar to our modern steam-vessels, in MS. Harl. 3281, fol. 43, v°, written in Italy
in the fifteenth century. See also the ff. 43, r°, 51, v°, and 57, r°, of the same MS.
12 LETTERS ON SCIENTIFIC SUBJECTS.
Matters to be prepared and had in reddynes.
Calibashes, caces, hollowe tronckes, and other instrumentes,
of smalle chardge and greate effecte for the services of your
Majestic and countrey many wayes, which have bynne
more chardgeable to me, then they would be to your Ma-
jestic, if good order mighte be taken therein. For some
workemen have taken my money, and have spoiled my mo-
delles and devises, and I could never gette my money, the
ingions, nor yet my modelles agayne, and the devises in some
sorte made publique, which I woulde have kepte secrette.
But if it pleased God to put into your royall harte, bothe for
his owne glorie, the glorie of your excellent Majestic, and
your valiant nation and subjectes, to erecte some academy,
or place of studdy and practice, for ingenious, pollitique and
learned men, aud apte artificers, as in a corporation or bodie
pollitique, maintayned partly by your Majestic and partly by
your nobillitie, your clergie, and your comons, for theis moste
noble effectes. And whereas many corporations, societies of
artes, faculties, and misteries, have bynne erected, founded,
and franchised, with many honorable guiftes, liberties, and
freedomes, by your Majesties moste worthy progenitors, but
never any comparable to this, in glorie to your Majestic
and the safetie and comforte of your countrey and people,
which every vertuous and good mynded man would willingly
further and maintayne for their owne good and safetie, and
to the perpetuall glorie of your Majestic, and your feirce
people, and valiante nation, that ingenious pollicies mighte
throughly joyne with strength and valiant hartes of men.
The which I referre to your Majesties moste deepe considera-
tion, for the service of my countrey, holdinge myselfe here-
by fully every waye dischardged in dutie bothe towardes your
Majestic and my countrey.
Your Majesties moste loyall subjecte,
and faithfull servant,
RAPHE RABBARDS*.
* The writer has annexed the following note addressed to Lord Burghley : —
" At your Honors pleasure and leisure I shall so satisfie your Lordship, that
you shall not doubte of the performance of them, which none shall knowe but her
Majestic and your Honor."
LETTERS ON SCIENTIFIC SUBJECTS. 13
DR. JOHN DEE TO LORD BURGHLEY*.
[MS. Lansd. No. 19. Art. 38. Orig.]
Right honorable and my singular good Lord, — Whereas of
late your honor very favorably used me, considering your
mervailous skantnes of leysor from very waighty matters and
publick : I am now, therefore, most humbly to render thanks
to your honor. Sins which tyme I have som whole dayes
attended at London, hoping for your lordship comming
thither. And on fryday last, perceyving your honor to be
almost in a redines to ride toward the court, ere I could get
to London (after I hard of your lordship certayn being there)
I than thowght the season to be very unfeete for my purpose.
Therfore finding your Lordship, at all tymes of usuall access
for suters, so fraught with matters of more importance than
any of myne can justly be deemed, I thowght good (with your
lordships leave and favor) thus by writing to enjoy e one
howre of your lordships leisour (best known to your Lord-
ship onely, whan that is) to vew the pattern of som part of my
symple sute : which hertofore I wold gladly have opened
unto your honor by word of mowth ; and that is this. So
much of my intent and studious doings is well known unto
your honor, and the most part of all universities in Christen -
dome (and farder) ; that for this xx. yeres last past, and
longer, it may be very truely avowched that I have had a
mervailous zeale, taken very greate care, endured great tra-
vayle and toyle, both of mynde and body, and spent very
many hundred powndes, onely for the attayning some good
and certayn knowledg in the best and rarest matters mathe-
maticall and philosophicall. How little or much therin the
aeternall God hath imparted to me (for my talent) He onely
best knoweth. But certaynly by due conference with all that
ever I yet met with in Europe, the pore English Bryttains
(II favorito, di vostra Excellentia) hath carried the bell away.
God Almighty have the glory ! The same zeale remayneth
(yea, rather, greater is grown). But the hability, for chargis,
is far lesser ; and that somwhat occasioned the sooner, throwgh
my frank dealing for procuring and purchasing speady meanes
of good knowledg. Which also I did uppon no small hope
* This letter has been partly printed by Strype, in his Annals of the Reformation,
vol. ii. App. xlv. The conclusion of it is a striking example of the little attention that
was paid to the preservation of ancient records ; it is known, from Dr. Dee's well-
known memorial addressed to Elizabeth on the subject, that a MS. of Cicero " De
Republica" was even as late as the sixteenth century preserved in the library of Can-
terbury cathedral.
14 LETTERS ON SCIENTIFIC SUBJECTS.
that som nedefull supportail wolde be for me (in due tyme)
devysed : eyther throwgh the meer and gracious good favour
that I was perswaded the Q. most excellent Majesty did
beare unto me, or els throwgh the procurement of some of
the right honorable cownsaylours, which both right well
knew, by how hard dealing my father Roland Dee (servant
to her Majesties father the most renowned and triumphant
King of our age) was disabled for leaving unto me due mayn-
tenance : and also sufficiently understode of sundry sutes in
my behalf motioned, for some ayde toward the atcheving of
some of my honest intents. Of which sutes no one (hither-
to) hath taken the wished for success, for any my behofe.
Nay, in the mean tyme of some my travayles beyond the seas,
unleast your honor had put to your helping hand, I had
byn defeated of that little exhibition, which I enjoye ; being
but borrowed a while, by speciall priviledge and favor extra-
ordinary. And that unwillingly un my part, if I could other
wayes have had the supply therof in like yerely value, which
(as God knoweth) findeth not me, and my pore familie, ne-
cessary meat, drink, and fewel, for a frugall and philosophi-
call dyet. But if I may (with your Lordships favor) speak
as I think, unfaynedly : unleast your honor had supposed that
I had odly committed the care for my necessary mayntenance
unto some other noble cownsaylour than yourself: veryly I
judge, that, long ere this, your honor would have made me
to have tasted of that mervaylously famous your honorable
constant and lucky favour and benedicite of the Court
Royall ; whereby, may have bin and are made liable to dis-
pend of their owne yerely, thre, fowre, five, &c. of hundred
Eownds. To compare with any of them in desert publik or
>rning, I neyther dare, nor justly can. But in zeale to the
best lerning and knowledg, and in incredible toyle of body
and mynde, very many yeres therfore onely endured : I know
most assuredly that this land never bred any man, whose ac-
cownt therin can evidently be proved greater than myne. I
trust that this my simple speche, uttered in the record of my
conscience, and with a sincere estimate both of myne and my
predecessors doings, will not seme to your wisdome arro-
gantly vaunted ; onely God can make the perswasion of the
truth hereof to settle into the bottom of your lordships hart.
And fearing to offend your honor any way, eyther with rude
homelyness, or with superfluitie of wordes, I will cut of all
such digressions ; and committing myself, and my honest
purposes, wholy to your Lordships protection and direction
henceforward, I beseche your honor to accept my faithfull
good meaning toward your Lordship, which, dayly and
LETTERS ON SCIENTIFIC SUBJECTS. 15
howerly, will (by God's grace) appeare unto your lordship
more and more abundantly. Returning now, therefore, to
the matter wherof I last (by mowth) spake unto your honor,
and which, also, was the last principall point of my spedy letter
than delivered to your Lordship, — As concerning thresor hid.
First, it may pleas your lordship to consider this clause
truely by me noted out of Theseus Ambrosius, fol. 206, b.
In copiosa ilia Antonii de Fantis Tarvisini librorum multitu-
dine, magnum sanevolumen repertumfuit, in quo abdita quam
plurima, et satis abunde curiosa, tarn ad philosophiam, medi-
cinam, et herbarum notionem, quam etiam ad asirologiam, geo-
mantiam, et magiam, pertinentia continebantur. Et in ejus
pr&cipua quadam parte tractabatur de thesauris per totum
fere orbem reconditis atque latentibus, quorum admodum clara
atque specified notio haberi poterat, fyc. Secondly out of
Henricus Leicestrensis (I suppose) it is noted, in the sum-
mary of English chronicles, anno 1344, of a Sarazin comming
than to Erie Warren, as concerning a great threasor hid in
his grownd, in the Marches of Wales, and of the good suc-
cess therof. Thirdly (for this xx. yeres space) I have had
sundry such matters detected unto me, in sundry lands.
Fowrthly, of late, I have byn sued unto by diverse sorts of
people, of which, some by vehement iterated dreames, some
by vision, as they have thowght, other, by speche forced to
their imagination by night, have byn informed of certayn
places where threasor doth lye hid; which all, for feare of
kepars, as the phrase commonly nameth them, or for mistrust
of truth in the places assigned, and some for some other
causes, have forborn to deale farder, unleast I shold corrage
them, or cownsaile them, how to procede. Wherein I have
allways byn contented to heare the histories, fantasies, or il-
lusions to me reported, but never entermeddled according to
the desire of such. Hereof might grow many articles of
question and controversie among the common lerned; and
skruple among the theologians : which all I cut of from this
place, ready to answer onely your Lordship most largely, in
termes of godly philosophic, whan opportunitie shall serve :
making small accownt of vulgar opinions in matter of so rare
knowledg : but making allways my chief reckening to do no-
thing but that which may stand with the profession of a true
Christian, and of a faithfull subject. But, if, (besides all
bokes, dreames, visions, reports and virgula divina) by any
other naturall meanes and likely demonstrations of sympathia
and antipathia rerum, or by attraction and repulsion, the places
may be discryed or discovered, where gold, silver, or better
matter, doth lye hid, within a certayne distance : how great a
16 LETTERS ON SCIENTIFIC SUBJECTS.
commodity shold it be for the Cluenens Majestic, and the com-
mon weale of this Kingdome, by such a secret, not onely threa-
sor hid may be deciphered in precise place : but, also, it may
be disclosed where, in this land, any mynes, vaynes, or owre
of gold or silver be naturally planted. And here (by the way)
I must note unto your Lordship the name and argument of
one strange boke, which, in old tyme, was in this land, — PAN-
DULPHUS DE MEATIBUS TEBB^E : qui cunctas venas, meatus,
atqueaditussubterraneoSyConflexiones, specus,antra et interiora
latibula, cavernulasque terrarum, porositates, profunditates,
concavitatesque totius s&culi materialis, et ambitus subtus ter-
ram enumerat singillatim. So that by this and the former
boke it may appeare what manner of philosophers and ma-
thematiciens have bin in tymes past. Conclusionally than,
in respect of all the premisses, one part of my present sute
unto your honor is that, by your lordships wisdome, the
Queens Majestic may be induced to think somwhat favorably
(as very many other, noble and lerned, of forrayn lands do)
of my great travailes, patience, constancy, costs, and credit,
in matters philosophical! and mathematicall : and thereuppon,
in the ende of my carefull race, to let some token of her Ma-
jesties royall good affection precede toward me, \vhome, your
lordship knoweth (or may know) that emperors, kings,
princes, dukes, marchises, erles, barons, and other many
men, of great powre and magnificent courrage, have sued
unto (in my tyme) to enjoye my simple talent, in their ser-
vice or company : to whome all, I ever have given answer
(as my duety was, and my stomach served me therto) for the
honor of my naturall and drad soveraigne (for that tyme)
here raigning. Your honor knoweth that thresor trouve is
a very casuall thing : and of which, althowgh the prerogative
of the Q. Majestic do entitle to her a proprietie, yet how sel-
dome her Grace hath hitherto receyved any commodity ther-
by, — it is to your honor better known, than unto me. But
as for mines of gold and silver, to be in England or Ireland,
many have written and reported both of old tyme, and latter:
as I think, your honor hath, ere this, hard abundantly dis-
coursed. The value of a myne is a matter for a King's
threasor ; but a pot of two or three hundred pownds, &c.,
hid in the grownd, wall, or tree, is but the price of a good
boke or instrument for perspective, astronomy, or som feat
of importance. And truely vulgar, obscure persons, as ho-
siers and tanners, can (by colour of seking assays of metalls,
for the say master) enjoye liberty to content their fantasies
to dig after dremish demonstrations of places, &c. May riot
I, than (in respect of all the former allegations of my pains,
LETTERS ON SCIENTIFIC SUBJECTS. I*J
cost, and credit, in matters philosophicall and mathematical!)
yf no better or easyer way to serve my turn will fall to my
lot from her Majesties hands ; may not I than (I say) be
thowght to meane and intend good service toward the Q.
Majestie and this realme, if I will do the best I can at my
own costis and chargis, to discover, and deliver true profe of
a myne, vayn, or owre of gold, or silver, in some one place
of her graces kingdoms and dominions, to her graces onely
use ; in respect, I mean, of any my demaund or part to be
had therof. But uppon this comfortable consideration, that
her Majesty do frely give unto me, by good warranty and
assurance of her letters-patents, her right and propriety to
all thresor irouve, and such things commodious, as (under
that name and meaning comprised) by digging or search any
where, in her graces kingdomes and dominions, I, or my as-
signes shall come to, or finde : and with all good warranty
(for my indemnity) agayn all laws and persons, to make serch
by digging, or otherwise. And this to dure the terme of my
life. And in token of my hart fully bent to shew myself
thankfull to your lordship for compasing eyther of these two
wayes : (I mean eyther an easyer means of provision, for two
hundred pownds, yerely, during my life : or this casual marts
of paynfull search) ; before God, 1 promise unto your lord-
ship (or will by oth uppon the Evangelists be bownde) of all
thresor trouve (commyng to my hands) to impart unto your
lordship, or your assignes, the one half, during my life.
Moreover your Lordship may be most assured that any no-
table benefit (throwgh your L. meanes) bestowed uppon me
now in the very pynch and opportunytie, shall not, ne yet
can, be hid under a bushell : but is like with your L. famous
renown, very far immortally to be blazed. The third and
last principall point of this my present sute to your L., is for
your L. hand to a letter directed to Mr. Harly, keper of the
records of Wigmor castell, or to whome, in this case, it doth
appertayn. For that, at my late being there, I espied an
heap of old papers and parchments, obligations, acquittances,
accownts, &c. (in tyme past belonging to the abbay of Wig-
mor) and there to lye rotting, spoyled, and tossed, in an old
decayed chappell, not committed to any man's speciall charge :
but thre quarters of them I understand to have byn taken
away by diverse (eyther taylors, or others, in tymes past).
Now my fantasie is that, in som of them, will be some men-
tion made of noblemen and gentlemen of those dayes, where-
by (eyther for chronicle or pedigree) som good matter may be
collected out of them by me (at my leysor) by the way of a
recreation. And whatsoever I shall finde in them, eyther of
18 LETTERS ON SCIENTIFIC SUBJECTS.
your L. ancestors (in direct line, braunche, collateral!, or
match) wherin I am not utterly ignorant : eyther of any other
matter worthy your lordships knowledg; I will make true
report, and deliver the same to your L. ordring ; but els they
ar to unclenly (som of them) for your L. eyes to behold.
Thus, in the perswaded security of your L. favorable inter-
preting of all the premisses, I ende this long letter, beseech-
ing the blessed Trinity that this florishing kingdome may
long enjoye the great talent committed to your L. (from
above) and, on your L. behalf, moste wisely employed to the
welth and tranquilitye of this kingdome.
This 3 of October, 15 74.
Your L. most bownden,
JOHN DEE.
To the right honorable and my singular
good lord and patron, the L. Burgh-
ley, Lord High Threasorer of England.
HUMPHREY COLE TO LORD BURGHLEY.
[MS. Lansd. No. 26, Art. 22. Orig.]
4th December, 1578.
Righte Honourable, — Whereas Mr. Edwarde Dyer pre-
sented to your honour a peece of greene owre which he had
of me, yt was your honour's pleasure that I should make
serche for it at my goinge into the northe, which I accom-
plished according to your honnour's appointemente, and have
brought some of it with me from the place where it was got-
ten ; the whiche I woulde have presented to your honnour
longe before this tyme, but for that I dwell in London, I
durst not presume to come to the courte unto you. Where-
fore I have nowe sente the same unto your honnours by Mr.
Walter, one of your gentlemen, certefienge your honnour
that it was founde in the digging of a quarry in the grounde
of Mr. Robert Bowes of Aske in the Countie of Richemonde,
soe neere unto his house there (upon the which he is nowe
bestowinge greate coste in buildinges) that in the digging
for the same owre his howse may be undermined. Howbeit
there be other places thereaboute wherein the same owre, or
the like, in good plentie might be serched and founde ; for
there was plentie of it in that place where I had this, but I
perceave the said gentleman dare not digge for it, for that he
feareth thereby to undermyne and hurte the foundacion of
LETTERS ON SCIENTIFIC SUBJECTS. 19
his said house, and it appeareth that in old tyme there hathe
bene within a quarter of a mile of the same place greate
woorkinge, but noe man to this daye knoweth to what pur-
pose. Onelie this I heare, that there was an olde recorde
found mencioninge that those hilles thereaboutes were called
riche mounts or divites monies, whereof the towne of Rich-
mont took the name and was called Richmounts. And thus
I am bolde to declare the reporte thereof to your honnour, as
yt was tolde unto me ; and I doubte not to discover manie
profitable thinges bothe there and in other places in that
countrey, if I had occasion to remaine thereaboute. And if
it please your honnour to use my service in this or anie other
thinges according to my skill, I am at youre honnors co-
maundemente, havinge founde you my good lord at all
times. For by your good meanes I was placed in the tower
to serve the Quene in the mynte to doe the servyces perteyn-
inge to the mill, that, when Eloy the ffrenchman shoulde be
taken therefrom by death or otherwise, I should enjoye the
same. And towarde my staie of livinge till that office shoulde
fall, there was alowed unto me the ffee of the sincker of the
stampes, being £20 by yere; and he that nowe exerciseth
that place hath not other thing to live on but the half of my
ffee. And nowe he refuseth to serve in it anie longer, where-
fore I humblie besech your honour to continewe my good
lorde, that I maye be established in that house, office and
ffee, which the said Eloy had, which I have staied for theis
xxtie. yeres, and thereby spente the best of my tyme to my
greate hindraunce, lackinge sufficiente maintenaunce for me
and my family. Albeit that T hoped, by the service whiche I
have donne and can doe, both in this respecte and in manie
other thinges, if I were called thereto, to have obteigned some
suche prefermente before this time, as that I should not nowe
have bene destitute of livinge in this my olde age. And thus
remayninge alwaies readie to serve the Quenes Majesty, and
to die in hir service, I praie God that hir noble highnes maie
have a longe lief, that I and manie other maie serve hir manie
yeres, and that your honnours health and prosperous estate
maye longe contynewe.
From London this iiij.th of December, 1578.
Your honor's moste humble suppliante,
HUMFREY COLE*.
To the right honnourable and his singuler
good Lorde the L. Burghley, Lorde
Highe Treasorer of England.
* Humphrey Cole was the most distinguished mechanist in England at this pe-
riod. Gabriel Harvey in a MS. note on the margin of a copy of Blagrave's Ma-
c 2
20 LETTERS ON SCIENTIFIC SUBJECTS.
DR. JOHN DEE TO CHARLES JACKMAN AND
ARTHUR PETT.
[MS. Lansd. No. 122, Art. 5. Orig.]
Instructions for the two masters, Charles Jackman and Arthur
Petty geven and delyvered to them, at the Court day holden
at the Moschovy house, the Ijth of May, anno 1580, with
which instructions a new charte (made by hand) was geven
allso to eche of the sayd two Masters, expressing their Cathay
voyage more exactly then any other yet published.
In the name of Jesus !
Yf we recken from Wardhouse to Colgoyeve Hand 400
myles, for allmost 20 degrees difference, only of longitude,,
very nere east and west, and abowt the latitude of 70f .
And from Colgoyeve to Vaygatz 200 myles, for 10 degrees
difference (only in longitude) at 70 degrees of latitude allso.
And from Vaygatz to the promontory Tabin, being 60 de-
grees different in longitude; (the whole course or shortest
distance betwene which two is allso east and west, in the la-
titude likewise of 70) are 1200 myles. Then is summa totalis
from Wardhouse to Tabin, 600 leages or 1800 myles Eng-
lish.
Therefore allowing in a discovery voyage, for one day with
an other, but 50 myles English ; yt is evident that from
Wardhouse to Tabin, the course may be sayled easily in 36
dayes. But by God's help, it may be fynisshed in much
shorter tyme : both by help of wynde prosperous, and lyght
continuall for the tyme requisite thereto.
When you are past Tabin, or come to the longitude of 142
(as your charte sheweth) or 2, 3, 4, or 5 degrees farder
easterly, it is probable that you shall fynde the lande on your
right hand, running much sowtherly and eastward, in which
course you are like either to fall into the mowth of the famous
ryver Oechardes, or some other : which (yet) I conjecture, to
pas by the renowned City of Cambalu : and that mouth to
•be in the latitude abowt 50 or 52 degrees, and within 300 or
400 myles of Cambalu, ytself being in latitude abowt 45 de-
thematical Jewel in the British Museum, mentions " old Humphrie Cole " as a
" mathematical mechanician" ; and he applies the same term to him in his work
entitled Pierces Supererogation, 4to. Lond. 1593, p. 190. William Bourne also,
in his Inventions or Devises, Lond. 1578, p. 17, makes honourable mention of him
as an inventor. A mathematical-instrnment-maker of the same name, Irving
" neere unto the North dore " of St. Paul's, is mentioned by Worsop in his work
entitled Discoverie of sundrie errors and faults daily committed by Lande-meaters,
4to, Lond. 1582; but I am uncertain whether this latter notice refers to the same
person.
LETTERS ON SCIENTIFIC SUBJECTS. 21
grees sowtherly of the said river mowth : or els, that you
shall trend about the very northen and most easterly poynt
of all Asia, passing by the province Ania, and then in the la-
titude of 46, keping still the land in vewe on your right hand
(as nere as you may with safety) you may enter into Quinsay
haven, being the chief city in the northen China, as I terme
yt, for distinction sake, from the other better known.
And in, or about eyther, or both of these two warme places,
you may (to great good purpose) be occupyed the whole
wynter after your aryvall in those quarters : as, sometyme by
sea, sometyme in notable fresh ryvers, sometymes in discrete
vew, and noting down the situation of cities within land, &c.:
and ever assaying to come by some chartes, or maps, of the
cuntry, made and printed in Cathay or China ; and by some
of their bookes likewise, for language, &c.
You may have opportunity allso to sayle over to Japan
Hand, where you shall fynde Christen men, Jesuites of many
cuntries of Christendom, and perhaps some Englishemen ;
at whose hands you may have great instruction and advise
for our affayres in hand. God be favorable to these attempts,
greatly tending to his glory, and the great honour of this
kingdome ! Amen*.
Anno 1580. A. Maij. 35.
By me JOHN DEE.
STEPHEN POWLE TO MR. WEST.
[MS. Lansd. No. 100. Art. 19.]
The coppie of my letter to Mr. West whearin is the tower
and fabricke of the horologe in Strasbourg described.
Right worshipfull Sir, and my moste especiall good frend ;
Whereas it pleased you in your letter dated the 8. of No-
vember, moste courteously to request that of me which your
manifowld desertes of right might have commaunded, I have
endeavored, accordinge to the utmoste of my power, which
doth shewe the smalnes of my skill, to satisfie your request
therein, and have noted the particular poinctes of the tower
and clocke of Strasbourge ; wherein, because I finde many
thinges farr to exceed the reporte, therefore I feare to under-
take this bould enterprice, to send them put downe in wri-
tinge. For as Allexander, which was the only monarch was
* Among the Harleian charters, EE. xix., is " the counterfet of Mr. Fernando
Simon his sea charte, whiche he lent unto my master at Mortlake, anno 1580."
In the same collection, EE. xvii., is Dr. Dee's own chart.
22 LETTERS ON SCIENTIFIC SUBJECTS.
never pourtracted in table but of Apelles, never graven in
brasse but of Lisippus, nor at any tyme praised in assembles
but of Ephestion, least by the unskilfulnes of any other the
glory of his renoune might be empaired ; so of right this
tower, which is the only wonder I heare of, shoold never be
described but of sutche exquisit men in paintinge, carvinge
and speach, as weare those forenamed persons ; and myself
ought rather to be silent (beinge acquainted with mine owne
simplicitie in that behalf ), then by endeavoringe to describe
the workmanshipp detract from the wonder and mervaile
that all menn have so justly thereof conceaved. But as those
that had the vewe of the pyramides in Egipt weare rather
astonid with the sight, then able to decypher those hidden
misteries covered with the shoe of hieroglificall beastes, and
therefore they presented the formes and models thereof only
unto there frendes at there retoorne, to procure therein also ther
delight. In like sorte my self, in behouldinge theise German
pyramides with an admiringe mynde, following there exam-
ple, have sent you heer enclosed theise two sheetes of paper,
which doe figure foorth, although obscurely, the shininge ex-
cellencye of that they represent; wishinge there all that the
painters cunninge had been aunswerable to ther curious
rarnes, for then your pleasure should have been in every re-
spect equall with your desyre. But this want of his must
be supplied with your judgement, which like the skilful geo-
metrician, cann by one smale part proportionably gather the
whoale boddie, or by measuringe only the shadowe discerne
the heyth of the tower ; and like unto Pithagoras that find-
inge in ludis Olympiacis but one stadium, which contayned
three hundred feet, therbie conceive the huge monstrous
stature of the geant Hercules the measurer thereof. But
yeat least you, by behouldinge theis dumme, silent and mute
pictures, finde more to amaze your minde, then to delight
your eye, I present myself unto you as a bashfull trush-
man to unfould there meaninge. Yf I interpret there wordes
amis attribut that fault to my unskilfulnes of there speech,
because they be Germans by nature, and myself am not per-
fectly acquainted with there tounge, by reason of the smalnes
of my continuaunce : I might also add this for a more juste
excuse, that I am not a professour of there arte, and there-
fore unfitt to be an expressour of there misteries. But that
which embouldeneth me is this, that though I aunswere not
there worthines, yet I shall after a sort observe decorum, in
beinge as farr of from presentinge the veary truth by my
penn, as the painter is from describinge the lively vew thereof
by the draught of his pensell.
The citie of Strasbourge is called in Latin Argentina, for
LETTERS ON SCIENTIFIC SUBJECTS. 23
the nomber of silver mynes which be founde in the contry of
Alsatia, wherein it is seated. The which, as it hath the walles
fortified with moste artificiall bulwarkes for to defend them
without from the force of enemies, so the houses be adorned
with moste curious paintings to delight within the behoulders :
for the excellencie of both which it is placed emongest the
cheef cities in theise partes of Germany, and renounid through
all Europe for the workman shipp of the tower, and the artifi-
ciall mocions, morall figures and astronomicall instruments
inclosed in the fabricke of a clocke. The tower is moste
spoken of for the arte in rearinge up a heape of so many
stones, almost contrary to nature, six hundred foote highe in
the aire, so geometrically that it seameth rather to hange
therein then lean on any sure fondation, and that it hath
continewed almost this four hundred yeares. I assure you,
sir, to behoulde the same, beinge in the topp thereof, it seam-
eth to have threatned ruine ever since the first hower it was
built, passadge lying open through every stone thereof to the
winde and the weather in sutch sorte that I scarcely remem-
ber my beinge on the heith thereof without a tremblinge ter-
rour, consideringe that I might have fallen to the grownde
every moment throwghe the same. There is added to this
rare heith a mervelous sensible deceipt of the behoulder, for
it seameth not to be by the half so high, to take the vewe
thereof from the foundation. I attribute this to the smale
hould the beames of the eyes can have on the stones of this
build inge, beinge everie waie (as I before have mencioned)
perflatiles, and the force of the sight beinge divided into so
many and sundry partes (by the meanes of those chiones it
lighteth on when any man looketh up to the tower,) is made
more weake and feable, and, therefore, cannot by reflection
bringe backe to the eyes the perfect forme of the object ; for
the sence of seinge beinge the servaunt of the mynde, dooth
represent by the eyes (which be, as Plato termeth them, ad
animam perforate fenestrce,} the trew shape of that thinge it
was commaunded to behould, sendinge forthe his beames, as
bailifs, to arest the object to appeare before reason that keap-
eth his coort in man's mynde ; which, beinge vearye swifte,
escapeth, and is not attayned to by pursute ; and by that
reason, lookinge on a whirlinge wheele, wee discern e not the
spookes thereof, nor on birdes flyinge wee see no fethers;
or yf the object be veary farr of, as out of his bailiwike, he re-
toorneth non est inventus; and therefore we attain e not by
sight the grasse that groweth on mountaines farr of, nor dis-
cern branches though wee behould the trees ; or if they be
24 LETTERS ON SCIENTIFIC SUBJECTS.
but informed by others, then they reporte falsly ; and there-
fore men behouldinge the moone in the horizon, through and
by the meane of the moist and vaperous aier, the eies reporte
to the minde the moone to be bigger then it is 2 howers
after : and an ower to be broken in the waves that is whole ;
a penny in a boule of water to be a grote for bignes : or, if
theise ballifes meet with an artificial! object, then as with a
suptill sophister, beinge deluded, they err in there arrant
likewise ; and that is the reason why Zeuxis' painted grapes
dasled the sighte of the birdes, and whye Parrhasius coort-
ine deceaved Zeuxis the painter; that Pigmalion's handes,
in beinge in love with his owne picture, deceaved his eyes ;
and to applie it to this present example, this seameth to me
the reason why this artificiall tower deceaveth the behoulder.
In the fabricke of the clocke which standeth in the church,
nature for geavinge sutch an excellent subject to woork on,
the will of the devisor for his invention and disposition, and
the handes of the artificers for there exquisitenes in gravinge,
carvinge and paintinge, and all three for the consent they
had in the perfettinge this rare devise, are so much to be won-
dered at, that the behoulder remaineth douptfull to which
he shoold geave the glory or praise, for it should seem they
all contended for the highest point of wonderfull admiration.
Nature hath geaven a kinde of wroode, called Zilly, which
hardly can be discerned from stone. The devisor hath placed
in this, besides divers incredible motions, the best instru-
ments of astronomy ; and the painters hath bestowed thereon
the summe of their cunninge and the perfection of there arte.
To retoorne to the devise, therein is to be seen a shoe of eter-
nitie ; the beginninge of Tyme and a vewe of Age ; the periods
of the planetes ; the yearly and dailie motion of the soonne in
the zodiake ; the convertion of the moone in her cycle, and a
more particular distinction of tyme by motions artificiall of
weakes, daies, howers, quarters and minutes : adorned also
it is with beautifull pictures of holly and prophane stories,
and with admirable motions of men, beastes and birdes. To
entreat of theis partes in order doth cause me to be prepos-
terous, for first I must describe the heele and after, last ot all,
the heade. Eternitie is partly figured by the begininge, and
partly also by the laste parte of the fabricke. The pellican
that supporteth the globe dooth represent the poet's Atlas,
whome they fained to beare the woorld on his shouldiers ; but
Christians do resemble it to our Saviour, by whome all thinges
have there life, as the globe hath hir motion by the instru-
mentes conveyed in the belly of the pellican. Tyme is figured
LETTERS ON SCIENTIFIC SUBJECTS. 25
by the heavenly globe ; for as by the one wee knowe the re-
volution of the moveable yeare, so by the other wee discerne
the distinction of all motion, for the philosophers define tyme
to be mensura motus. Before the heavens weare created
there was no naturall motion, and, by that reason, there
wold be no mensura motus. That estate of beinge which was
before the creacion of the woorld was called therefore eter-
nitie ; because therefore the pellican is placed firste, out of
which proceedeth the cause of the motion of the globe which
representeth the woorld, therefore the pellican figureth forth
eternitie, and the globe representeth the begininge of tyme.
The globe is moved every daie by a circular and violent mo-
tion, and therein the soone in his naturall coorse kepeth the
eclipticall line, whoe, although he be likewise whirled about
by the violence ofprimum mobile everie daie from the east to
the weast, yeat in his zodiake he finissheth his naturall coorce
from the weast to the easte every yeare ; which tyme is said
to be his period, as that also of the moone in twentie eight
daies and eight minutes ; that of Saturne in thirtie yeare ;
Jubiter in five yeare and eight dayes, and so likwise of the
reste ; and that of the eighth spher (which is tearmed ccelum
stellatum), where the fixed starres remayne in six and thirtie
thowsand yeares, which is the period of the spher, and it is
called magnus annus Platonis, because he held opinion that
then all thinges should beginne anew. The third yallowe
great compas (that resembleth after a sorte a wheele, by rea-
son of the forme and read lines that be like spookes,) setteth
forth a callander for one hundred yeares (in the 4 corners of
which be described the 4 monarchies), which was called of the
poetes the age of man, and therefore they fained that Nestor
lived three men's lives, because he was three hundred yeares
owld, and this callander doth morally signifie age, and parti-
cular describeth the daies of the moneth, the letter Domini-
call, the Epact, and the goulden number, all which be shewed
by the arrowe of Apollo, there painted in the lei't hand of the
table, and by the finger of Diana on the right side thereof.
The great circompherence of this circle that is coloured yalow
finisheth his cours in a yeare, the inwarde part that is co-
loured blewe in a hundred yeares retourneth to his period.
Over which be motions of the planetes, as they geave the de-
nomination to the daies, as on sunday the sonne presenteth
him self, drawen in a chariot with towe white horses, with his
strength Leo. The moone of munday, drawen in chariot by
twoe redd hartes, her strength Cancer. Mars on tewsdaie,
drawen in his coach by twoe tigers, assisted with his strength
Aries and Scorpio. Mercury on Wednesday, drawen by twoe
26 LETTERS ON SCIENTIFIC SUBJECTS.
redd cockes, with his strength Gemini and Virgo. Jupiter on
thursdaie,in his chariot drawen by twoepecockes,his coachman
Sagitarius, his strength Pisces. Venus on fridaie, drawen in her
chariot by twoe white doves, her coachman Cupid, her strength
Libra and Taurus. Saturne on satterdaie, drawen in his coach
by twoe greane dragons, his strength Capricornus and Aqua-
rius ; so that in the whoale weake they all showe themselves.
This motion is mervelous beautifull and veary strange, and
in my opinion adorneth more than any other parte in the
whoale fabricke. Those rounde spotts in the twoe sides of
the callender be the notable eclipses of the soone and moone,
that shall happen within this thirtie twoe yeares. The rounde
blewe, havinge the center thereof redd, is nothinge but the
motion of an index that sheweth the minutes of the hower ;
on the sides whereof be twoe angelicall boyes, the one havinge
an hower glasse which he toorneth every hower, the sande
beinge emptied out in the lower parte thereof; the other ha-
vinge a cepter in his hande whiche he liftinge up semeth as
it weare to commaunde the clocke to stricke. The next great
circumpherence distinguished by twenty foure howers, is an
astronomicall instrument called the astrolabe, wherein be the
howerly, dailie, weakly, monethly and yearly motions of the
planets and starres ; in the corners whereof be the foure ages
of man, the foure seasons of the yeare : above this is the
monethly course of the moone which doeth so wax and waine,
is manifested shininge or shadowed, as the moone is in the fir-
mament. Above this be those men which stricke the quar-
ters, wheare the hower is resembled to the life of man, which
hath his infancie like to the first quarter, which is strooken by
the child ; his adolescencie resembled by the second quarter,
which is strooke by a yooth ; his manhood resembled by an
armed souldier, whoe strikes the third quarter ; and his owld
age resembled by a graie-bearded man, whoe striketh the
laste quarter. The hower glasse beinge nowe emptied (which
the angelicall boye before spoken of that sitteth belowe by the
circule of minutes held in his hand), the course of man's age is
by that figured to be ended, and therefore death ensueth and
striketh the stroke on the little bell, as it weare to summon us
to appeare before the tribunale seat of the heavenly judge, and
sheweth that the lif is finisshed as the hower, whose droppes
of sand be resembled to the daies, and protract our lif to our
end, and that our period of abidinge heare is so shorte as the
hower is in respect of eternitie. Opposite to death is Christ
which reviveth and raseth up to lif everlastinge ; and in this
second place is eternitie signified, whoe was before all tyme,
figured in the pellican belowe, and shall continew after all
LETTERS ON SCIENTIFIC SUBJECTS. 27
tyme is ended. The motion whereby the nature of our Sa-
viour is manifested is every moment to come forth out of that
place where he is pourtraeted, to signifie that he carefully
provideth for all ages, and lovingly presenteth him selfe at all
tymes. This is, Right Worshipfull Sir, in breef, the summe of
that which is in the fabricke of the clocke contayned, wherein
lie hidden more misteries then I have manifested unto you in
theise fewe lines,, and yet so mutch hath been uttered as de-
serveth a duble and treble consideracion, for in this so many
divers partes is a wonderfull consent and agreement ; for heer
the foure men doe soe distinguishe the continewaunce of
the whole woorld, as the foure seasons doe the yeare ; the
ages doe the life of man, and the foure quarters doe the
moone and the hower ; and yeat all theise have and
figured by death, all theise have originall motion by Christ,
which is there lif, figured forth by the pellicau, and all
theise have been garded and maintained by our Saviour, the
laste parte of the worke. There is also the creation of man,
the fall of man, and the restoringe of man, and his resurrec-
tion, painted in the lower parte of the table, over the eclipses
of the soonne and the moone. The cocke on the left hand
dothe croe at three of the clocke in the afternoone. This was
not devised of late, but kept in the church as a monument of
antiquitie ; for in tymes past they used, when the passion of Christ
was celebrated, to make this cocke croe at sutch tyme as they
reade in the Evangelist, Peter three tymes deniall of Christe,
the which savoreth nothinge of the invention of the rest of
the woorke. The other side is only an artificiall steare
whereby men maie behould the conveyances of the motions
within. In the mindes of the magistrates that fournisshed
the deviser with habilitie to make shewe of his skill by mag-
nificent expenses, there is to be considered a desyre to conse-
crat the memoriall of there names to perpetuall admiration of
succeadinge ages, imitatinge therebie the examples of many
kinges and princes that emptied there treasures on such he-
roicall woorkes. Some in buildinge of temples ; some by in-
ventinge of warlike engins ; some by devisinge spatious and
ample theatres ; some by convayinge miraculously waters by
aquaeductes ; some by buildinge of bathes ; by bridges ; by
gardens ; some by piramides ; some men by obeliscy, and
some by measuringe of tyme by clepsydrae, clockes and hower-
glasses and sutch like, that to recite all the other kindes of
inventions weare to you troublesome and to me laborious.
The great Temple of Diana in Ephesus did contayne in length
foure hundred and thirtie twoe feet, in breadth one hundred
and twenty, was supported by one hundred and twenty seaven
28 LETTERS ON SCIENTIFIC SUBJECTS.
statly pillers, and was a buildinge twoe hundred and twenty
yeares by the moste exquisite artizans in all Asia. The walles
that inclosed the great citie of Babilon, built by Queen Sy-
miramis, weare in circute sixtie miles ; in heith, two hundred
feet ; in breadth fiftie ; weare distinguished with twoe hun-
dred and fiftie stately towers ; in one yeares space weare
finisshed, but by the hand of thirteen thowsand woorkmen.
The children of Israeli, that lived foure hundred and thirtie
yeares under the slavishe servitude of the tirannicall Pharoes
in Egipt, weare busied cheefely in there latter tyme in work-
inge of those stately Piramides ; the commen people bakinge
of bricke for the foundations, and the most learned amorigest
them in carvinge of stones for those hyerogliphicall misteries.
Trajan the Emperure, as it weare in dispite of nature, made a
stony bridge over the swifte river Ister of twenty arches, sea-
vered by one hundred and twentie feet, in heith forty cubites,
in breadth thirtie. The theaters at Rome weare capable of
sixtie thowsand persons to behould, and of navis of shippes to
present navale prelium for pleasure unto the people, Horti-
pensiles weare no lesse admirable, that were so artificially sett
on pillers, that they seamed to hange in the aire, and there-
fore weare called hanginge gardens. The tombe that Arte-
misia bwilt for the kinge of Caria is renouned through the
whole woorld by the name of Mausole. The great Colossus
(that was in the haven of the He of Rodes, was an immage of
sutch a mervelous heith, that great shippes with all ther
sailes, there toppes and topp gallantes, mought enter betwixt
his legges,) is to be wondered at howe it stoode firme and im-
movable of winde and tempest, without any shrowed, so
many hundred yeares. Dionisius the tiran was the inventor
of the warlicke engin called Catapulta ; but first he, by pro-
posinge infinite rewardes, assembled at Siracusa, in Sicily, the
most rare persons for invention in all Africa and Europe.
Archimedes did devise, by many yeares study and wonderfull
expenses, a burninge glasse, wherewith he woold sett a fiar the
Romaine shippes many leagues of, and handes of iron to lifte
upp whole navies by force, and to make them as it wreare flie
in the aire. Nero did invent and caused to be bwilt a ban-
quetinge howse in Rome, wherein the motions of the heavens,
the conjunctions and opositions of the pianettes, wear hourely
presented unto him as he sported him self with musicall in-
struments. Vitruvius for warlike engins is of admirable re-
noune. And Berosus the Caldean did first devise to measure
the tyme by an Hemicycle. Aristarchus of Samos, by a dishe
havinge in the center thereof a strawe directed to the zenith,
and Augustus the Emperewer in Campo Martio uppon the
LETTERS ON SCIENTIFIC SUBJECTS. 29
caracters in obeliscis, did discerne the sbadowes, and by that
meanes distingwisshed the howers of the daie. Papirius Cursor
did the use of horologis at Rome : and Scipio Nascica did firste
devid the daie into twenty foure howers by the runninge of
water. And Boetius Severinus the philosopher did first in-
vente those clockes wee daily use, that move by waightes and
tourne by wheeles*.
This catologge I alleadge to shew, that in all tymes and ages
moste renounied princes have contended for the prise of glory,
by inventinge rare woorkesfor necessitie or pleasure, and also
to shew that in all tymes and ages menn have been very curious,
and have bestowed great cost in distinguisshinge of tymes, as
a thirige that ought to be estemed moste pretious. To imitat
whose example and to exceed whose excellencie, the Senate of
Strasbourge have caused this wonderfull fabrike to be made
in this forme as you see, by Doctor Dassipodius, publicke
professor of the Mathematickes, Wolkenstenius his coadju-
tor, and Stun the painter ; the renoune of whose fame as it
is reported in moste partes of Europe, so no doupt it wil be
perpetuated by continewaunce of tyme to all ensewinge pos-
terities. Thus hath, Right Worshipfull Sir, my desyre to de-
clare the forwardnes of my good will carried me perhaps farr
beyonde the compas of my learninge, in indeavoringe to in-
clude sutch an exquisite peece of woorke in my rude letters,
and to contayne the statlynes of the high tower within the
basnes and lownes of my creapinge style. But I hope you
will easily pardon this presumption, consideringe it proceadeth
from an obsequious mynde to procure your contentment by
this my studious travaile. And although as it was geaven for
advise to a temerarious weake person, that he should abridge
some whatfrom his rasshenes or addsomethinge to his strength,
if he ment to attaine any tbinge by his labour, so I maie be
admonished that I should have with houlden some parte of my
good will, or encreassed somewhat to my knowledge, before I
had undertaken the description of this fabricke, yf I did de-
syre to make my letters acceptable to the willinge peruser
thereof. Yet still I bwild the foundation of my compforte on
the assured pillers of your favorable and gracious acceptaunce.
* In the Archaologia, vol. 5, is a very interesting article on the introduction of
clocks by Daines Harrington. A manuscript at Trinity College, Cambridge, O. ii.
32, contains another account of the Strasburgh clock, written in Latin in the year
1590. These two accounts seem to agree very nearly with one another.
30 LETTERS ON SCIENTIFIC SUBJECTS.
LORD BURGHLEY'S MEMORIAL CONCERNING
DR. JOHN DEE'S OPINION ON THE REFOR-
MATION OF THE CALENDAR.
[MS. Lansd. No. 39, Art. 14, Grig.]
I have perused Mr. Dee's booke concerning his opinion for
the reformation of the old Romaine Calender, and I have
conferred also by speche with him at good length thearein,
and I find his judgment resolute for the error and inconve-
nience to have yt continued ; but he differeth in the quantetie
of the error, for he hath made manie proofes by demonstration
astronomicall, that the superfluous nombre of daies to be
abridged are xj. wheare the Gregorean judgment maketh
them to be but x. I am not skilfull in the theoreekes to de-
sernn the pointes and minutes, but yet I am inclined to thinke
him in the right line, for I find he maketh his roote from the
vearie point of the nativitie of Christ in the meridian of Beth-
lem ; and the Romaines have made theire roote from the time
of the Counsell of Nice, and, according to that, theie maie
mainteine theare opinion. But by Mr. Dee, yt appeareth
the error in computation grewe betwixt the radix of Christes
Nativity and the celebration of the Nicene Counsell, which
he proveth by a great nombre of good authorities, such as I
think the Romanistes cannot denie. It weare good in mine
opinion (wheareunto he also consenteth), that by hir Majesties
order sum skilfull men in this science, as Mr. Digges and
others, to be called owt of the Universities, might peruse his
worke, and conferr the thinges by spech ; and though he dis-
covereth the x. daies to be insufficient, yet he yeldeth for con-
formitye with the rest of the world to assent to the reforma-
tion of our Engleshe calender, with the abridgment of x. daies
onelie ; so as the trewthe be denounced to the world that yt
ought to be xj. dayes, hoping that the trewthe will drawe the
Romanestes and other partes of Christendome to take owt of
their Calender hereafter the said odd daie.
Theare appeareth great cawse to have this conference acce-
lerated, for that it is requisite, for a secrett matter, to be re-
formed before November; so as either everie moneth from
Marche till November maie beare equall defalcation, or els
sum one moneth maie bear the whole. Thus much have I
thowght good briefuelie to deliver you mine opinion.
LETTERS ON SCIENTIFIC SUBJECTS. 31
THOMAS HOOD TO LORD BURGHLEY.
[MS. Lansd. No. 101, Art. 12.]
To the righte honorable Sir William Cecill, Knighte ; Lorde
Burleighe, Lorde Treasurer of Englande.
Male it please you, righte Honorable, to understande, That
forsomuche as the maintenance of the mathematicall lecture,
and other necessaries belonginge thereunto dependeth espe-
ciallie upon the execution of certaine articles confirmed by the
right honorable the lords of her Majesties Privie Counsell con-
cerninge the capitanes of the trained bandes in the citie of
London, and the erectinge of a mathematicall lecture therein,
I did therefore in humble manner request theire favorable
letters to the Lord Maior and his bretheren for the speedie
execution of the said articles. To my peticion I receaved this
answeare : That it pleased the right honorable lords in my
behalfe to directe theire letters to the Lord Maior and his
bretheren, requestinge them to move those which had binne
contributaries to my lecture to continew theire benevolence
towarde the same as they had begonne. The which answere,
Righte Honorable, as it seemed greatlie to favour my prefer-
ment, so am I bownde to be thanckfull for the same. But
consideringe that my wages dependeth not upon the contri-
bution of anie certaine number of men, but upon the promise
of the Lord Maior and the citie, I feared that their Honours
letters so directed wolde be an hinderance to my purpose, I
was bolde therefore to renew my peticion unto theire Lords,
whereunto an answere was retorned in these wordes. That
theire Honours were readie to grante the same, so farre forthe
as your Honour wolde consent thereunto, wherefore my re-
quest unto you, Right Honorable, is this, That consideringe
my peticion containeth nothinge prejudiciall to the honour
and profite of the common wealth, or that hathe not by your
Lordships hande binne adjudged convenient, and earnestlie
requested by the whole citie, it wolde please your Lordship
to further the same ; and I doubte not but as I shall thincke
myselfe bounde unto your Honour, and the rest for your
greate and singuler favour, so you shall have just occasion to
saie (in respecte of that good which by mine endevour shall
arise to the common wealth) that your benefite was bestowed
upon a painefull thanckfull and well deservinge man*.
Your Honours,
Most humble,
THOMAS HOOD.
* Towards the end of Elizabeth's reign, there was a mathematical lecture read
32 LETTERS ON SCIENTIFIC SUBJECTS.
TYCHO BRAHE TO SIR THOMAS SAVELLE.
[MS. Harl. No. 6995, Art. 40, Orig.]
Literas tuas circa initia Septembris ad me Hamburgo per-
scriptas, vir praestantissime eruditissimeque, misit hue claris-
simus vir D. Doctor Winshemius, casque dum peregre in
Seelandia absum, die 22 Novembris recepi, quae mihi admo-
dum gratae erant. Nee enim insolitum quid accidit, si viri
eruditi, in variis Europae locis utut de facie mihi ignoti, ad
me subinde dent literas. Quod et ego vicissim per occasio-
nem facere non supersedeo. Non tamen ita mihi ipsi placeo,
nee tanto me dignor honore quo tu candore et benevolentia
singulari ergamepotius allectus, quam quod ejuscemodi quid
agnoscam, me afficis. Si praesens praesentem aliquando allo-
cutus fuisses, ex quo sic aliquoties animum induxeras, equi-
dem tuus hue accessus mihi percharus evenisset. Solent
praeter alias nationes diversas tui quoque conterranei Angli
me quotannis, aestatis praesertim tempore crebro invisere, quos
et, uti par est, in pretio habeo, et prout cujusque fert inge-
nium atque desiderium, libenter cum illis de re qualibet pro-
posita confero, quot et tuum non gravatim facerem, cum ex
literis tuis perspiciam, tanquam ex ungue Leonem, te ingenii
acumine judicio et eloquentia praepollere, modo ^Eolus atque
Neptunus tarn averse animo mihi tuum hue adventum non
invidissent. Reddentur forte alias placatiores, nam et eos qui
ventis atque undis praesunt, instar eorum mutabiles esse con-
decet. Nee fera tempestas toto perdurat in anno. Dabitur
forsan aliquando occasio, qua his faventibus et benignius aspi-
rantibus, id quod hactenus non successit, commodius expe-
dies. Eris mihi, ubi id evenerit, hospes apprime acceptus.
Interim quod licet et decet, quodque a me tain obnixe expetis,
praestare non intermittam. Mitto siquidem bina exemplaria
libri nostri secundi de recentioribus cceli phcenomenis. Licet
enim non libenter haec a caeteris tomis, nondum typis integre
absolutis, avello, tamen tuae sincerae et amicae petitioni morem
gerere volui. Habebis et reliquos, sine quibus hie pene mu-
tilus est, quando typis nostris ad colophonem fuerint deducti.
Interea temporis per otium hunc, quo nunc te dono, evolve,
disquire, dijudica. Et si quid in hoc dubii, aut minus apo-
dictice prolatum adinveneris, ingenue admone, tuamque et
aliorum praestantium in Anglia philosophorum de singulis
eruditam censuram, sive pro sive contra nos faciat, conquire,
in Leadenhall Chapel ; in 1631 this had been discontinued, hut lectures on navi-
gation were then read in the Blackfriars, at the house of Adrianus Marius. Stowe's
Chronicle by Howes, fol. Lond. 1631, p. 1080. Thomas Hood, the writer of this
letter, was the author of a treatise on the sector, and several other scientific works.
LETTERS ON SCIENTIFIC SUBJECTS. 33
audacter prefer, rneque per literas, cum libera restituetur na-
vigatio, de his certiorem redde. Vale et magnificum specta-
tissimumque viram dominum Danielem Rogersium, regineae
Majestatis consiliarium atque secretarium dignissimum, (qui
etiam legationis hue in Daniam munere functus, me cum suo
comitatu aliquando invisere non est gravatus) meo nomine
saluta, unaque ilium de mihi promisso serenissimae reginae
privilegio librario, pro quo jam aliquoties frustra ad ipsuui
scripsi, admone ut mature stet promissis, quo diploma illud
primo vere, si antea ob hyemis asperitatem fieri nequeat, certo
obtineam, cum caeteris quibusdam, ab imperatore atque aliis
regibus impetratis, operibus nostris praefigendum. Aut si pri-
vilegium illud non est missurus, indicet saltern, quod et cur
id non concedatur, sicque fidem datam apud me sufficienter
redemerit, eritque excusatus. Saluta quoque meo nomine
officiose riobilissimum et excellentissum dominum Johannem
Dee, quern in patriam feliciter reversum audivi, ipsique hoc
nomine congratulor, omniaque prospera opto. Nobilissimum
quoque et pariter eruditissimum mathematicum Thomam
Diggessaeum* ex meo ore non insalutatum relinque, cui etiam
ex animo faveo et bene cupio. Utrique autem horum librum
nostrum transmissum ostende, ut et illi in eum disquirant at-
que suam de ejus contentis sententiam libere pronuntient.
Quod si literis ad me datis praestiterint, ego et respondere et
atnicitiam in posterum cum illis colere atque de rebus philo-
sophicis et mathematicis jucunde conferre nequaquam detrec-
tabo. Iterum atque iterum diu et bene vale. Dabantur Vra-
niburgi, calendis Decembris, anno 1590.
TYCHO BRAKE.
Addidi quaterna exemplaria meae effigiei nuper Amstero-
dami cupro insculptae. Si qui sunt apud vos excellentes
poetae, quales in foecunda et facunda vestra, et terra et vena,
plurimos inveniri non dubito; cuperem, ut argutum aliquod
epigramma in icona hanc atque operum meorum commenda-
tionem delectationis ergo luderent. Qua in re eruditissimus
dominus Daniel Rogersius, suam quoque erga me probare
posset benevolentiam modo a Reipublicae serioribus negotiis
tantillulum vacaretf.
Clarissimo inprimisque erudito viro Domino Thomce Savillo,
Anglo, amico suo dilecto.
* This is the same person whose letter to Lord Burghley is printed at p. 6 of the
present volume.
t Daniel Rogers was distinguished in the literature of his time. I have not been
able to ascertain whether any other memorial of this application remains. A good
portrait of Urahe's is inserted in the Epist. Astronom. Franco/. 1610, from a paint-
ing taken when he was in his fortieth year.
D
34 LETTERS ON SCIENTIFIC SUBJECTS.
JOHN BULKELEY TO THOMAS HARRIOT.
[MS. Orig. in Sion College.]
Erudito viro Thomce Harrioto amico suo Johannes Bulkelaus
salutem dicit.
Obtemperavi tibi tandem, mi Harriote, et felici auspicio id
factum sit, si tacuissem mea mihi non meruissent, aut nunc
fortasse suo judicio perivit sueto. Non eo animo aut con-
silio haec scripsi, quo laudem hinc mihi aliquam acquirere
contenderem, si vituperim effiigiam voti mei compos fiam.
Legimus in prooemio quarti [libri] Conicorum Apollonii, Co-
nonem Samiunr, quern Archimedes vir acerrimi judicii propter
ejus singularem prudentiam summis laudibus extulit, a Ni-
cotele Cyrenaeo tanquam non recte in demonstrationibus ver-
satum reprehensum fuisse. Scripsit quoque Eutocius Asca-
lonita inventa initasse Erastosthenis Nicomedem ; atque So-
cratem, Apollonio oraculo sapientissimum judicatum, nichi-
lominus carpebat Aristophanes. Denique Archimedi ipsi
quandoquidem non defuit reprehensor. Quomodo ego spe-
rabo me posse carere calumnia? Verum si criticorum mor-
sibus dilaniare in te cudetur faba, qui tua culpa, tua, inquam,
maxima culpa, praecipua causa fuisti cur haec mea, qualia-
cumque sint, in lucem perclaram prodierunt, quae antea demi
in tuto silentii mcenibus defensa latebant. Quamobrem in
tuam tutelam protegenda suscipias velim, quoniam tibi tuo-
que nomini ea dicamus tanquam amicitiae quae inter nos mihi
ob virtutem solam interessit. Hisce igitur laborantibus,
ubi opus sit suppetias ferre (uti confido) ex humanitate tua
et ingenii acumine non dedignabere. Vale. Ex aulula Mona,
pridie calend. Martii, anno 1591*.
* This letter forms a dedication to a large work by Bulkeley on the quadrature
of the circle, the original manuscript of which is in the library of Sion College,
and is, perhaps, the only remaining memorial of one who appears to have been an
ingenious mathematician, considering the time in which he lived. From this de-
dication it appears that Bulkeley, under the advice of Harriot, had intended to
consign his work to the press ; and the reason why the project was abandoned
does not appear. This is also an early notice of Harriot as a mathematician ; al-
though Gabriel Harvey, in his " Pierces Supererogation," 4to Lond. 1593, p. 190,
classes him as a " profounde mathematician," along with Digges and Dr. Dee.
LETTERS ON SCIENTIFIC SUBJECTS. 35
EDMUND JENTILL TO LORD BURGHLEY.
[MS. Lansd. 77, Art. 59.]
October 1st, 1594.
In all humilitie (right honorable) have I presumed, upon
the reportes by my poore wief of your most favorable and
gratious meaninge towardes my relief and release in this my
distressed estate, by letter to solicite your lordship and to
confesse my fault unto your honor, to lay before you suche
frutes of my studdies as maye at least attenuate the offence,
and move compassion in your honors mynd for my delivery.
My cryme is counterfetinge of Forren coyne not currant in
this realme ; urged therunto, I doe protest, not through anye
vitious or lascivious kind of lyvinge, but through meere and
extreame want of mayntenance to susteyne my wief in her
long contynued child-birth sicknes, the relief of myself and
children, buyinge of bookes, paying of debtes and triall of
conclusions mathematicall and serviceable for my countryes
good ; the frutes and finall endes wherof, not suche as are
common or triviall, but rare and to great use in anie state or
comonwelth, not fytt for vulgar knowledge, I heere moste
humbly offer in redemption of my great amisse and fault
comitted, to bee performed within some smale tyme after my
release and some mayntenance with the recovery of my
helth.
First an instrument, wherby the distance to anything, to-
gether with the height and breadth therof, at one stacion or
standinge only, shal bee obteyned.
The second, a perpetuall motion of sufficient force to dryve ,
a myll.
The third a payer of compasses, which shall describe all
sortes of figures geometricall and spiral lynes, and maye, for
their excellencye, bee termed the Euclidean Compas.
Howe serviceable theis three are, and espetially the two
first, for all kynd of services as well at sea as land in warr
and peace, it is needles to dilate, when half a wourd doth
make your honor knowe as muche. Only this I crave in re-
garde heerof your honorable and moste favorable meanes,
either by warrant from your lordship and my honorable good
master Sir Thomas Henage, unto the Lord Maior for my
libertie (beinge as muche as he requireth), or otherwise to
acquaynt her moste gratious Majestic with theis my offers to
whome they are wholy dedicated, and of whose moste excel-
lent mercye and clemencye (in regarde of my soone deliverye)
my soule is well confirmed through your honors mediacion,
D 2
36 LETTERS ON SCIENTIFIC SUBJECTS.
that untymely death through sicknes and ymprisonment
growinge by grief of mynd in sorrowe of my faulte prevent
not these my good endevors ; besides the edition of my workes
of perspective and fortification, such as hetherto hath not
byn scene the like the attaynment unto the knowledge wher-
of, hath byn cause of my greatest wantes, and want the only
cause of my offence comitted. Thus, cravinge pardon for my
teadious boldnes proceedinge from a troubled contrite harte,
prayinge for your lordship's helth in all honor and happynes,
I moste humblye ceace
Your honor's poore and distressed supliant,
EDM. JENTILL.
To the right honorable his singuler good lord
The lord high t /treasurer of England.
INVENTIONS BY EDMUND JENTILL.
[MS. Lansd. 113. Art. 4.]
Inventions founde of late by Edmunde Jentill for the forte-
fyinge of Her Majestie's Navye and the benefitt of this
countrey.
A device whereby twoe menne maye be sufficient to waye
the waytiest anker in her Majestie's navye with greater ex-
pedition then it is nowe done with the nomber nowe used.
The like device is founde, for the hoystinge of the mayne
yarde with the like expedition.
A perpetuall motion is allso founde out of sufficient force
to drive a mill in any standinge water, or quike springe, which
maie alsoe be converted to sundrie other uses comodious for
all estates, which have hetherto byn supposed to be unprac-
tyzable.
A device wonderfull strange is alsoe founde out whereby
a vessell of burden maie easilye and safely by guided both
against the winde and tide *.
* Nothing is more easy than to picture the results of supposititious inventions
on paper ; a remarkable instance may be seen in the " Famous Historic of Friar
Bacon," edited by W. J. Thorns, p. 24-5 :— " Art oftentimes doth those things
that are impossible to armes, which I will make good in some few examples. I
will speak onely of things performed by art and nature, wherein shall be nothing
magical : and first by the figuration of art, there may be made instruments of
navigation without men to rowe in them, as great ships to brooke the sea, only
with one man to steere them, and they shall sayle far more swiftly than if they
were full of men : also chariots that shall move with an unspeakable force, with-
LETTERS ON SCIENTIFIC SUBJECTS. 37
HENRY MARSHALL TO LORD BURGHLEY.
[MS. Lansd. 101, Art. 16. Grig.]
Right Honorable, — Forasmuch as I have of late devised
two rare inventions, the which may be profitable to my con-
try e, and damageable to the enemyes thereof; I thought it
my dutie (having found your honour alwayes my especiall
good lord) to offer the discoverie of the same to your lord-
ship before anye other. The which if your honour shall
thinke worthie, maye be then imparted unto Her Majestic.
The first is an engine, whereby the walie of anye towne or
castle maye be defended from the force of anye canon : and
the other is an engyne, which shall breake the araye of anye
battell being readie to joyne : the which engynes are easilie
made., and yett neither verie chargeable nor paynefull to trans-
porte. And because I understand your honour to be de-
lighted with such rare inventions, I thought it good to make
modelles of the same, whereby your lordship may the easelier
conceave my intention, and the better judge of the benefitt
and sequell pretended. Thus fearing to be troublesome to
your honour, and craving pardon for this my rashe boldnes,
I wish your honour good health and long life to God's plea-
sure.
Your honour's most humble in all duetifulnes,
HENRY MARSHALL.
To the right Honorable Sir William Cecill, Knight,
Lord Burghley, Lord High Treasurer of England,
London, the 1st of June, 1595.
EMERY MOLINEUX TO LORD BURGHLEY.
[MS. Lansd. 101, Art. 17. Orig.]
1596.
Right Honorable, — As I have ever receaved, so I ever
acknowledge your honorable favors towardes me, and where
I have longe endevored to be a helpinge member to my
contry (as God enhableth me, by whome every good and
profitable thinge is effected,) so havinge by Him, by appa-
out any living creature to stirre them. Likewise, an instrument may be made to
fly withall, if one sit in the midst of the instrument, and doe turne an engine, by
which the wings being artificially composed, may beat ayre after the manner of a,
flying bird."
38 LETTERS ON SCIENTIFIC SUBJECTS.
rent approbation, performed matter of service worthy to be
imbraced, I cannot but in all duty not onely acquaynt your
honnour therewith, but yelde me redy to subject myselfe
and it to your honorable disposition. And althoughe I can
not so demonstrate the substance thereof as were fitt your
honnor should apprehend, I must yelde myselfe to your
lordship's good conceipt, assuringe your honnour that the
service shal be suche (might it please Her Majestic to make
use of it,) as former tymes have not attayned unto. The
eflfectes whereof I leave either to the judgment of some that
your honnour shall appoint to surviewe the same, or to the
information of the right honorable Sir William Knowles,, Sir
Henry Knyvett, Sir John Stanhopp, Mr. Thomas Knyvett,
and others whoe have been alredy partakers of the same by
viewe, humbly prayinge your honnour to accept myne ende-
vors, arid to contynue your honorable favours no further then
I intend my desires to doe your lordship and your's myne
uttermost service.
Your lordship's ever at comaunde,
EMERY MOLINEUX.
To the Right Honorable the Lord Burleighe,
Lord Highe Treasurer of England.
WILLIAM LOWER TO THOMAS HARRIOT.
[MS. Addit. 6789. Orig.]
Ira 'venti, March 4th, 1611.
Sir, — I never loved huntinge till you furnished mee with
dogs, I will henceforward prove another Nemrode ; indeed I
sought both arkes and tangents in the tables by proportion
onlie ; so, in a worde, you have made me see my faulte ; in
two or three more you have taughte me to amende it ; onlie
your curre dog Petiscus will not come into my sighte : but
after a weekes vaine anger and points in seekinge for him, I
found at last it was not the poore curres faulte, but Mr. Bills,
that, sendinge me the second edition of the Origonometria,
sente me onlie the tables ; so as turninge the pages 75, 76,
78, 79> of the first edition (which is all I have) I found no
such thinge as you sited, nor no such examples as you added.
This is not the first time that Bill hath sent me imperfect
copies ; I pray let him understand so much. So you see I
am defeated of the curre dog, savinge what I pick out of
LETTERS ON SCIENTIFIC SUBJECTS. 39
your letter, which indeed is not enough to give me satisfac-
tion. Let Kitt, when he goes next to London, speeke to Bill,
or att the Blackfriers, for a perfect copie of Petiscus ; my
brother the captaine will send it to me speedilie. The
touch that you give of your doctrine of differences or trian-
gular riombers, .... me of them, wherin to understand
somethinge, I will one day bee a begger unto you. Your
dog, that hunts by the sines onlie, and I am growen familiar,
and he is an excellent dog ; but your she bitch hath no fellow
for . . . . , onlie she is slow ; I had not lost hir, but knew hir
goodnesse wel enough: the reason why I did nott use her in
the former workes, was because, beinge in way of calculation
by the tables onlie in that practise, I endevored to cleare that
way of all rubbs ; also because I conceaved it to be the short-
est, I hastned (so greedie was my desire) to see the issue of
my worke ; so that by the assistance of thes dogs of yours I
grow so confident as to undertake to pursue in chace anie
game : but then onlie I shal be sure that nothinge doe escape
me, when you shall please to imparte unto me a betch of
your triangular kinde.
I need not bee so curious to send you my doubts in indi-
viduo, for howsoever you satisfie me in private as you have
done now, nevertheless, because you require it, I have sente
them in two supplements, the one unto my letters that you
have alreadie, the other unto thes, which, unlesse you had
remembered me of, I should have omitted againe.
My worke is crowned now you allow of it, and indeed ther
wanted in mee nether will nor industrie to accomplish it, nor
in you will nor skill to instruct me in the sacred wayes of
arte ; be you therfore ever of me unconquerablie respected,
or be I not att all.
You have recomforted mee much to intimate that anie
greate difference in my workes will discover a farther mis-
terie ; for I was almost dismaied to find thes second observa-
tions give an Aphelie different for the former 3 or 4 degrees.
Of this later worke I send you all the numbers given and
found, and had also of manie more by this time, if the impos-
sible issue of this last worke had not stayed my proceedinge till
I receaved your censure of it. As you direct me I will proceede
to doe them all, for I am growen' verie experte in this calcu-
lation. I did not mistake that a /3 in the diagramme I sent
you was double the eccentricitie, and therfore, before the re-
cepte of your letter, in this second worke I had placed /3 att
the center, and &> att the centrorde, not onlie that a jB mighte
still remaine with Kepler the single eccentricitie, but to make
it also corresponde with your vice royall probleme beare with
40 LETTERS ON SCIENTIFIC SUBJECTS.
this imitation. Concerninge the Joveall starres I writte no-
thinge of them last, because I had nothinge to writte ; for in-
deede, although both I and the yonge philosopher att Han-
besbrooke have often and in verie cleare nights (when Pre-
sepe was most plaine to bee scene without the cylinder) ;
when wee, I say, have often diligentlie observed Jupiter, wee
could never see anie thinge ; I impute it to .the dullnesse of
my lighte, for onlie with your greate glasse I could se them
in London.
That you have made so manie exellent observations of them
I am most glad of, for you have gotten the starte of all in li-
mitinge ther periods.
Ther periods are verie merveilous, especiallie that of Jovi
proximus, whos scituation also is no lesse merveilous, beinge
not one diameter of Jupiter of from him. Of thes thinges
and thos other mirabilia qua indies juvenis, I longe to bee
with you to discourse of them. My wiffe is well. Now you
know all my comfortes. I have lost my second boy also, and
wel neere eighty catle of the murraine, and the die still ; now
you know all my discomfortes and losses. Farewell, and lett
not the hugenesse of this missive discourage you from reed-
inge of it ; doe it at leisure and by peeces accordinge to your
best opportunities, and sometimes use the power you have in
me, which is to dispose of mee accordinge to the utmost of
all or anie of my abilities.
Your faithfull frind,
WILLIAM LOWER.
By the helpe of your dogs, I will revew all thos workes of
anie that exhibite the distance in the ellipses, equal or neer-
est to the same distance found before (for the workes uppon
the former positions of $ in the eccentricke, which were
onlie to find out this, I thinke you care not for) ; and when I
have perfected them, I will send them unto you, with all the
numbers given and found, whether the quesite consent or no,
since you so require it.
LETTERS ON SCIENTIFIC SUBJECTS. 41
WILLIAM LOWER TO THOMAS HARRIOT.
[MS. Addit. 6789. Orig.]
Ira' venti, April 13th, 1611.
I so overwhelmed you the last time with a longe letter as
it is just I should make you amends now with one as shorte.
To send you none at all (which perchance had bene best,
consideringe the use you have of all your time) I could not
consent unto, out of the addiction and delight I have to bee
still conversinge with you ; therefore I will onlie signifie how
it is with us, and so an end. My course of calculation I have
stopte untill I heare from you ; the two greate causes of my
stay I declared in my last letters. I fell since into Vieta's
last probleme of his second apendicle, Apol. Gal.*, and com-
pared his way with yours that you last gave me : but to con-
iesse a truth I can have my will of nether ; and the probleme
appeares to me not universall, but requires determination ;
for let the b a given have the same sides a b, ac, that Vieta' s
hath, and lett v' s!l be the same that Vieta gives ; now I will
give a A that shall have thes sides, so as it shal bee impossi-
ble to find anie pointe from whence lines drawen unto the
corners be in the given rate, and that is by giving a A with
the same sides a by a c, but in such position as the < b a c be
> or < , then Vieta's < b a c, in such measure as Vieta's two
circles doe nether cut nor touch. This rubbe put me out of
this course, wheruppon I betooke me to your problemes for
the distinguishinge of the sides of Ales? whether the summe
or difference of the sides and the angle adjacente or contained
with the other side were given in this. I proceed still with
much pleasure and satisfaction. I have also putt in order all
thos propositions which you also gave me, but I had copied
in lose papers and with ill diagrammes, so that all the thinges
stand well; and so I thanke God doe we also, excepte my
catle, which have al this winter bene persecuted with the
murraine ; since Christmas verie neere I have lost 100 beastes,
— Vieta's sacrifices to the witch Melutina for the invention
of one probleme. But I skarce keepe my promise with you.
Farewell. I am all yours.
WILLIAM LOWER.
To his especial goodfrind, Mr. Thomas
Harriott, deliver thes.
* The Apollonius Gallus of Vieta was first published in 1600, and contains a
restoration of the lost treatise on tangencies, which Pappus describes as forming
part of the TOTTOS avaXvopevos. See the article Apollonius in the New General
Biographical Dictionary, which was written by the editor of this volume. The
problem which Lower refers to is one of the most general in the series.
42 LETTERS ON SCIENTIFIC SUBJECTS.
WILLIAM LOWER TO THOMAS HARRIOT.
[MS. Addit. 6789. Orig.]
Ira' venti, Friday, July 19th, 1611.
Since you incourage me so much I will proceede in thos
calculations of c?, and as I finish anie I will send them unto
you ; indeed to find the issue so and in the later so
impossible to be reconciled, had utterlie discouraged me, but
that now by your letter I perceave ther may bee good use
made even of ther discordance, therfore of this I will say no
more till I send you more. The leasure that the countrie life
affordeth us here, hath given me meanes to run over manie
things since I left the course of calculation, but amongst
others the 3 vexations of scientificall mortals hath held me
most, to wit, the squaringe of the circle, the dublinge of the
cube, and the philosophers stoone. From the first I am
come of handsomelie enough, and have made myselfe much
sporte in the discoverie of mine owne parallogismes, but in
the later I sticke still, and am like to make you sporte here.
I come fairelie of, but indeed I have here much otium, and
therefore I may cast awaye some of it in vaine pursuites,
chusinge alwayes rather to doe somethinge worth nothinge
then nothinge at all. How farre I had proceeded in this, I
ment now to have given you an account, but that the reporte
of the unfortunate Erie's relapse into calamitie makes me be-
leive that you are enough troubled, both with his misfortunes
and my lady's troubles ; and so a discourse of this nature
would be unseasonable. Neverthelesse, give me leave to
crave a worde or two in answere of thes doubts, which I will
beesilie propound as followeth : —
1. First whether O and ([ be bodies so difficulte to be
dissolved as alchemists affirme, I meane by dissolution (as I
thinke they doe), that they must bee petrifyed and distilled ?
2. If they may bee dissolved, whether with one simple alone
or with manie ?
3. If they may be dissolved and petrifyed, whether ther
rectify ed partes, beinge conjoyned againe, will be multiplied
in virtue ?
4. And lastlie, that which should have bene asked first, an
sit elixir ?
But at this time, this much is to much. I am sorrie to
heare of the new troubles ther, and pray for a good issue of
them, especiallie for my ladie's sake and her fine litle ones.
So for the presente I rest, as of old, Your true frind,
WILLIAM LOWER.
To his especiall good frind, Mr. Thomas
Harriott, att Sion.
LETTERS ON SCIENTIFIC SUBJECTS. 43
THOMAS AYLESBURIE TO THOMAS HARRIOT.
[MS. Addit. 6789. Orig.]
Margett, April 15th, 1613.
Good Mr. Harriotts, — Bycause I have no other newes to
send you, you shall only receave the bare relacion of our
voyage from Chatham to Margett att the North Forland,
which I can tell you in breiffe, though it was to us (new sea-
men) very tedious. For wee went on board the sixt of April,
and are but now arrived att the Foreland the 15., which you
will say is very longe, but that you know the danger of the
sands, and contrarie winds too, if yours att Sion agree with
ours att sea. I have learned here certaine strange words
amonge our mariners, which to interpret will require some
tyme. If we had bene at Vlushinge, I mought perhaps have
told you more, but I could forbeare writinge to you noe
longer, though to little purpose, savinge only to lett you un-
derstand that wheresoever I am, I am bound to remember
you, and soe rest
Your very loyteringe,
but lovinge skollar,
THOMAS AYLESBURIE.
I must not forgett to tell you, your glasses have fitted my
Lord excellentlie well ; and soe, as I feare you will leese them
both, but not without your owne consent, I have noe aucto-
ritie to promise till you give leave*.
JOHN RUDSTON TO THOMAS HARRIOT.
[MS. Addit. 6789. Orig.]
June 9th, 1615.
Sir, — As by experience I have found your singular hu-
maintie by our late conferences, to make good the noble fame
of your great learning, so hath itt emboldened me by this my
letter, to request that you would send me word by this bearer
what the variation of the needle is about Mosco. For at this
present I have such an ympediment fallen into my toes, that
I cannot walke abroade, otherwise I had beene the presenter
* Aylesburie is frequently mentioned as one of the scientific circle of Briggs, /
Harriot, Warner, and others. Some of his astronomical observations are preserved
in MS. Birch, 4408, and are, as far as I know, the only remaining memorials of
his attachment to science.
44 LETTERS ON SCIENTIFIC SUBJECTS.
of this my request unto you myselfc, which, if it might have
beene, I should then have moved some other questions, viz.
whether it is probable that the variation can be in any place
of the world 180 degrees, or the north point of the needle
stand directly to the south. Allso whether a shippe sailing
right east or west by the compasse, keepes upon a parallel!,
as the common received opinion amongst maryners is, which
I thinke not, because the east and west of the compasse is a
tangent to the parallell, but how little soever it so continues
in sailing, it is a portion or arch of the great circle of the east
and west, and therefore (I conceive) cannot but decline from
the parallell. But ceasing to trouble you with these manner
of questions, I crave perdon for this my boldnes, resting
Att your command,
JOHN RUDSTON*.
To his very goodfrend, Mr. Haryott in
Black-fry ars, be these delivered.
THOMAS AYLESBURIE TO THOMAS HARRIOT.
[MS. Addit. 6789. Orig.]
Newniarkett, January 19th, 1618-9.
Sir, — Though I have bene yet soe little a while att New-
markett, that I have not any thing of moment to ymport, yet
I thinke it not amisse to write a bare salutations, and let you
know, that in theise wearie journeys I am oftentimes com-
forted with the remembrance of your kind love and paynes
bestowed on your loytering scholar, whose little credit in the
way of learning is aUwaies underpropped with the name of
soe worthie a maister. The comet being spent, the talke of
it still runnes current here. The King's Majesty before my
comming spake with one of Cambridg called Olarentia (a
name able to beget beleefe of some extraordinarie qualities),
but what satisfaction he gave I cannot yet learne ; here are
papers out of Spayne about it, yea and from Roome, which I
will endeavour to gett, and meane that you shall partake of
the newes as tyme.
Cura ut valeas et me ames, who am ever trulie and unfayn-
edly yours att command,
THOMAS AYLESBURIE.
To my right woor t hie f rend, Mr. Thomas
Harriot, att Syon, theise.
* An astronomical treatise by John Rudston on the " great conjunction of Ju-
piter and Saturn" in 1023, is preserved in MS. Harl. 5211.
LETTERS ON SCIENTIFIC SUBJECTS. 45
THOMAS HARRIOT TO THE DUKE OF
NORTHUMBERLAND.
[MS. Harl. 6002.]
Syon, June 13th, 1619.
Sir, — When Mr. Warner and Mr. Hues were last at Sion,
it happened that I was perfecting my auntient notes of the
doctrine of reflections of bodies, unto whom I imparted the
mysteries thereof, to the end to make your lordship ac-
quainted with them as occasion served. And least that some
particulars might be mistaken or forgotten, I thought best
since to set them down in writing, whereby also nowe at
times of leasure, when your minde is free from matters of
greater waight, you may thinke and consider of them, if you
please. It had been very convenient, I confess, to have
written of this doctrine more at large, and particularly to
have set downe the first principles, with such other of ele-
mentall propositions, as all doubtes might have been pre-
vented ; but my infirmitie is yet so troublesome, that I am
forced^ as well that as other traits, to let alone till time of
better abilitie. In the meane time I have made choyce of
these propositions, in whose explication you shall find, I
hope, the summe of all that of this argument is reasonable to
be delivered. And if any doubtes doe arise either of the
hypothesis therein used, or of the concomitants and conse-
quences therein also intimated, although upon due considera-
tion onely they may be resolved, yet because I am beforehand
in consideration of these matters, I shall be ready when I
have notice of them to give your lordship full satisfaction for
your ease. And seeing that my purpose, God willing, is
within a few days to see your lordship, I cease from more
wordes, resting, &c.*
T. HARRIOT.
* The Harl. MSS., generally ascribed to Harriot, and even by the late Professor
Rigaud, are in the handwriting of Sir Charles Cavendish. In MS. Harl. 6083 is
a paper in the autograph of Harriot, " de numeris triangularibus," which appears
to have hitherto escaped the notice of his biographers. According to Aubrey, the
Duke of Northumberland gave Harriot a pension of .£400 per annum, and to Ro-
bert Hues and Walter Warner he gave £40 (Lives, p. 368). Hues was the author
of a popular little work, de nsu globorum, which passed through several editions,
and was also translated into English. I do not know whether a Mr. Hues, who
is mentioned in MS. Harl. 4728, p. 5, as having been a chaplain at the Bermudas,
be the same person.
46 LETTERS ON SCIENTIFIC SUBJECTS.
SAMUEL TURNER TO THOMAS HARRIOT.
[MS. Addit. 6789. Grig.]
Sir, — These shall request you to forgive me my absence
untill to morrowe ; then I shall give you a more particular
accounte of my discourse with Mayerne. In the meane time,
I shall lett you knowe that he cannot possibly com to Lon-
don, thoughe he have manny occasions to invite him to it,
but he desiers much to see you there ; but betweene this and
twesday he will send you, under his hand, the methode that
he wolde advise you in the cure*. Tomorrowe I shall see
you myselfe. In the meane time, I remaine
Your assured frende,
SAM. TURNER.
To his very good frende, Mr. Harlot, give these.
HENRY BRIGGS TO THOMAS LYDYAT.
[MS. Bodl. 313. Orig.]
Good Mr. Lydiat, — My desire was to have seen you here
this Act, and to have enjoyed your company and conference
about our common business, the furthering of such as desire
to understand the mathematics, and to have desired you to
have holpen me to Origanus, whereof I should have some
continual use. I pray you therefore send it me safe, and
leave it for me, if I be not in town, with Mr. Crane of New
College, my very good friend, or when you think good, that
at my coming home I may not fail to have it. I am still at
my logarithms, and can neither finish them to my mind nor
let them alone. If your calling, being of so high a nature,
would give you leave seriously to intend other business, I
should intreat you to strive to get out your meditations and
great pains, and to demonstrate every thing as you go, with-
out which I think you cannot have that acceptance and ap-
plause that your great pains have deserved. But we that
have no such eminent business may be busied about these
* Harriot died on the 2nd of July, 1621, of a cancerous ulcer in the lip. 1
give this short letter as a biographical illustration. In the same volume are drafts
of two letters from Harriot to his physicians, detailing the nature of his complaint,
and dated in 1614 and 1615, which shows that he must have been harassed with
this disease for some years. Theodore Mayerne, mentioned in this note, was a
very eminent physician at the time ; but it does not appear to be generally known
that several volumes of medical collectanea in his autograph are preserved in the
Cambridge Public Library.
LETTERS ON SCIENTIFIC SUBJECTS. 47
trifles in respect, though in themselves they deserve to be of
good account. Thus wishing you all happiness and success
to your liking, I take my leave.
Your very assured loving friend,
HENRY BRIGGS.
From Merton Coll: this 11 July, 1623.
THOMAS LYDYAT TO HENRY BRIGGS.
[MS. Bodl. 313.]
Mr. Briggs, — There was delivered to me yesterday, in the
afternoon, at Banbury, by one of my neighbour ministers, a
letter from you bearing date the 11 of July, i. e. Friday was
sennenet, which he said was delivered to him yesterday was
sennenet, the morrow after the Act. And touching that you
write therein about your Origanus, for which I thank you,
and your Kepler : because you signified you were likely to
be from home, I have written to Mr. Crane of New College,
with wrhom you wished me to leave them in your absence,
and sent money to buy others of the same for me, or rather
for yourself, because, as I told you, yours were somewhat
bruised and wronged by my carriage, and peradventure might
be more in the recarriage.
Now whereas you renew your motion of demonstrating,
thereto I answer still, as before, bene mones. And whenso-
ever you or any man else from generality shall proceed to
particular specifying of any assertion of mine not sufficiently
demonstrated and proved according to the nature thereof, I
will, by God's grace, do my best endeavour to demonstrate
and prove it better. But I hold not a diagramme the only
way and means of demonstrating, nor so generally necessary
as you seem to urge. To give you an instance ; I met the
other day at London, with Lansbergius his Progymnasmata
Astronomise restitutae, where in the 10 pag. applying the
sun's parallaxe to Hipparchus his ^Equinoctial observations,
to make them serve his turn, he sets down a diagramme to
demonstrate that the true vernal aequinox is sooner, and the
true autumnal later than the apparent, in regard of the paral-
laxe, which to me seems superfluous. For having granted
that the parallaxe makes the sun seem lower than truth, he
that cannot thereupon conceive that, in his ascent, he attains
the vernal sooner than he seems to attain it, and contrarywise
in his descent he seems to attain the autumnal sooner than
48 LETTERS ON SCIENTIFIC SUBJECTS.
he doth attain it; and consequently the vernal true must
needs be sooner, and the autumnal true later than the appear-
ing : say I, he that cannot conceive the necessity hereof
without a diagramme, is a verier dunce than myself, and not
far from that itching morbo demonstrandi that some have
complained of before me. In a word, I hold it as absurd to
require diagrammes where they are needless, as not to put
them where is need. And if there be any that will not look
upon my writings for want of diagrammes, they may look
beside them, and they will for me.
Further to acquaint you with my studies, I have within
this twelvemonth, since my last being at Oxford, scribled out
three inchoate and imperfect treatises of astronomy : the first,
of the obliquity of the zodiak in our age, which repulsing
the insensible inobservable parallaxe, and the imaginary re-
gular refraction obtruded by Tycho, I find with Regiomon-
tanus and the Landgrave, to be 23| degrees at the most : the
second, of the sun's apparent anomaly and eccentricity,
which I have by many observations confirmed to be accord-
ing as I before supposed, 18|- days, and 333^, whereof the
radius is 1005000 ; with the greatest prosthaphaeresis, igr. 54
str. 42 sec. : the third is of the place of the Sun's Apogaeum ;
for the reversing whereof to the ^Estine Solstice and begin-
ning of Cancir, I have with much labour found out above
fifty good observations of Waters, the Landgraves, Byrgius
his, and Tycho's own last Bohemicks. But speed these as
they may, with diagrammes or without, I am resolved against
the bringing in of the Gregorian year and calendar into our
country, to oppose my great Period or Annus Magnus ; and,
with God's help, to maintain against whatsoever Jesuit or
Papist ; and in regard of the contempt and disgrace that hath
been offered my poor self and it, to stand for a reward of my
pains in finding or restoring of it. But haste breaks off this
idle talk. I was even chiding ripe with my neighbour mi-
nister for keeping your letter so long in his hand. I know
not whether he doubted me to be the man to whom it was
meant, because you endorsed it to Alkerton in Buckingham-
shire. Indeed my direct way to Alkerton from London,
whence I came upon Friday was sennenet, the llth of July,
which day your letter bears date, is to Ailesbury, and so all
along through Buckinghamshire ; but Alkerton, my native
soil and dwelling-place, is in the utmost skirt of Oxfordshire
northward, as I have heretofore, although not demonstrated,
yet declared without a diagram me in mine Astronomical
Epistle, a copy whereof I remember I gave you. And from
thence at this time, I thank God, in health, I take leave of
LETTERS ON SCIENTIFIC SUBJECTS. 49
you ; the 23 of Julian July, and 4th of ours, on Wednesday
Morning, 1623.
Yours, THOMAS LYDYAT.
THOMAS MAN TO THOMAS LYDYAT.
[MS. Bodl. 313, Orig.]
April 19th, 1625.
Sir, — In your letter, written to Mr. Crane, and dated the
23rd of July, 1623, you made mention of a manuscript, which
was a paraphrase of Ptolomie's Almagest, and extant in our
Library* : out of which you desired to have copied out the
beginning of the third book so far as to those words answer-
ing the Greek TOVTOW 8' ov T&>9 e^ovrwv, &c., together with the
marginal notes, and if there were ought else to be found either
in the beginning, or end thereof, or any where else concerning
the antiquity and author of it. To give you satisfaction
herein, Mr. Warden hath taken great care and pains ; for he
hath employed one of our fellows in copying it out, and hath
transcribed it himself. You shall receive both the copies by
the bearer hereof, Mr. William Griffith ; but I fear neither of
them will answer your expectation. For first, whereas you
suppose this manuscript to be a paraphrase of Ptolomy, it
appears plainly by the same book being extant in the library
of All Souls5 College, that it is only a mere translation. In
the preface of which book, after a strong commendation of
this Ptolomy and his work, there is some mention made of
this translation. The words, because they are a sufficient
proof hereof, and will satisfy your demand concerning the
author and antiquity of it, I have sent you as I find them at
the end of the preface; and they are these : Liber hie prcecepto
Maimonis regis Arabum, qui regnavit in Baldath, a Alahazer
filio Josephifilii Matte Arismetici, et Sergio filii Elbe Yplano,
in anno 12 et 2000 Sectce Sarracenorum translatus est ; qui
quidem liber est Magnus dictus Almagesti, quern Bartholomceus
Bheleudensis de scientia stellarum, et motuum, qui sunt in
ccelOy conscripsit. The same translation, but without this
preface, is extant in the same Library, excus. a Petro Liech-
tenstein, Colon. Venetiis, 1535. Again, that clause which you
aim at especially, as I understood by Mr. Doctor Bainbridge,
* The manuscript here referred to is probably that mentioned in Bernard's
Catalogue (fol. Oxon. 1697, p. 37.) under the title of " Ptolomaei almagestum ex
Arabica in Latinam linguam versum." This forms No. 281 of the manuscripts in
the library of New College.
E
50 LETTERS ON SCIENTIFIC SUBJECTS.
and which in our manuscript is thus in the text, si in consi-
der ationibus decepti fuerimus in quart a diei, ut sit inter ipsam
et suam differentiam quarta diei ; this clause, I say, is not
found in the manuscript or printed book of All Souls ; in the
printed book not at all; and in the MS. 'tis only in the mar-
gin thus : ut sit inter ipsam et suam differentiam quarta diei.
Other diversities of reading in All Souls' MS. you shall find
noted in the margin of one of these copies. As for the mar-
ginal notes in our MS., Mr. Warden hath with great labour
transcribed them ; they being written in a very small charac-
ter, and full of abbreviations. This is all I thought good to
acquaint you with concerning this matter. If you shall de-
sire to be farther certified in any special point out of this MS.,
you shall find me (besides others) as willing to perform at any
time, as now to promise my best furtherance therein ; and so
I leaving you to God's protection, rest
Your friend,
THOMAS MAN.
THOMAS LYDYAT TO THOMAS MAN.
[MS. Bodl. 313.]
Alkerton, May 12th, 1625.
Sir, — Touching the letter I received from you, dated April
the 19th, almost three weeks since, together with the tran-
script out of the Latin paraphrase of Ptolemy, as I termed it
in my letter, wherein I desired it to be sent me almost two
years agone, then deeming it a matter of no greater moment
or difficulty, but that I might easily have obtained it within
two or three days ; whereas you write, you fear neither of the
copies will answer mine expectation : truly mine expectation
thereof was no greater than I signified in my letter, and had
before set forth in print, and given copies thereof into your
library, that you needed not to be ignorant of the matter.
But I must confess it fell out very greatly contrary to mine
expectation, that it was so long differred, which I imagined
might have been so soon obtained; and that made me at
length the more earnestly to urge not only to others of your
fellows, my kind friends, according as I met with them, but
in the end also to your worthy, and by me accordingly re-
spected, Mr. Warden himself; I say the more earnestly and
almost obstinately to urge that which in the beginning I did
not so much respect : because I began to suspect, that not the
difficulty of the matter, but some sinister surmise arising upon
LETTERS ON SCIENTIFIC SUBJECTS. 51
the impairing of my credit amongst you was the cause of the
differring of it so long, contrary to., I will riot say, your pro-
mise, but my expectation. Wherein I accounted myself not
a little wronged, yet not by you, but by some other, by whose
means I had been so much discredited amongst you of that
excellent society ; whose good opinion of me I have ever yet
esteemed, and so shall esteem ever while I live, as one of my
greatest worldly comforts.
Now for your reasons why you fear your transcripts wdll
not answer mine expectation : first because it appears plainly
to be only a mere translation which I supposed to be a para-
phrase : I termed it so by reason of the clauses here and
there inserted more than the text, and for illustration of the
text, which is the property of a paraphrase ; and I thought I
might the boldlier so term it because Scaliger had likewise
termed it before me, namely, in his Tract, de Emend. Temp.,
pag. 370, calling both the author Paraphrasten Arabem, and
the translation itself, Paraphrasin. As for the words you
transcribed out of the end of the preface of All Souls5 MS., to
satisfy my demand concerning the author and antiquity of
it : the antiquity of the Arabique was no part of my demand
or doubt : as having seen the same long since, not only in the
forealleged place of Scaliger, but before in Christman's Ap-
pendix to Alfrugan, pag. 471, out of a MS. of the Palatine
Library : neither yet the antiquity of the first Latin transla-
tion out of the Arabique : which, out of the same place, and
also otherwise, is sufficiently known to have been procured
by the Emperor Frederick the Second, sirnamed Siculus :
but my demand was concerning the antiquity of your own
particular copy of that translation. Nevertheless you have
done well that you have transcribed those words touching the
Arabic, and thank you for it.
Concerning the second cause of your fear, namely the
clause that Mr. Dr. Bainbridge gave you to understand I did
especially aim at : neither did I ever tell him so much, nor
any man else, neither is it true : neither doth that paraphras-
tical insertion, being either wholly or partly omitted in other
MSS. or printed copies, make much either for or against the
goodness of your own. But the clause which I did indeed
especially aim at, and in regard whereof chiefly I did and do
term your old Latin translation of the Almagest a paraphrase,
is that immediately following those words cited by me in the
top of the 32nd page of my Astronomy epistle, a circulo ad
circulum [antequam demonstraret] , have both your tran-
scripts : but as I have read it heretofore, because I could
make no sense of the other, and thereupon made an annota-
E 2
52 LETTERS ON SCIENTIFIC SUBJECTS.
tion, which some of my learned friends have seen almost two
years agone : ad quern, or juxta quern, or quod dirigent con-
sider ationes positas. Touching your two transcripts, I un-
derstand the fairer of them to be Mr. Warden's own hand-
writing : for which I request you to return him from me many
dutiful thanks ; withal signifying unto him that I had not so
little wit or manners either, as to wish himself to be at such
pains : but used his name in my letter only because I supposed
he knew best wiiom to employ about it. Concerning the
point in controversy about the confounding or dividing of two
of Hipparchus his vernal observations, I pray you return my
commendations to your mathematic reader, whose I under-
stand the other transcript to be, with many thanks likewise
for his pains. And whereas in the marginal notes of your
manuscript there is one against the vernal observations, which
either I had not before marked, or else have since forgotten,
namely, pro prima est secunda vel transposita : I desire him
to send me word whether that appear to be of the same hand
and antiquity with the other. Again, whereas in his tran-
script against those words, et post annum, transcribed in the
text, but afterward blotted out again, there is moreover ad-
joined this marginal note, et post annum deleantur, whether
that be the ancient censure of either of All Souls' copies, the
manuscript or the printed, or his own censure : because all
those three words are quite left out of them both without any
marginal note or censure at all. In a word, because the un-
certainty which of the three copies he took for the ground of
his transcript breeds some confusion to mine understanding
of his diverse readings in the margin : I request him to be at
so much the more pains as to transcribe all that concerns the
same one or two vernal observations, being not half a score
lines, from et post hoc, to fere per 5 horas, word for word,
/distinctly and severally out of all three copies, with such
/ marginal notes as each of them have : and thereto to add the
fourth, which I understand to be in Sir Henry Saville's Ma-
/ thematic Library, and which, I doubt not, he may easily ob-
*- tain in regard of his acquaintance with Mr. Briggs. And to
him I desire you both to have me heartily commended, thank-
ing him for Vieta his Gregorian Calendar, which I received
from him a se'nnight since : touching which I purpose, God
willing (if my building hinder me not over much), to write
unto him ere long. Meanwhile it is not the least cause of
my writing unto you at this time, to signify unto him that I
have received it, arid good content with and by it.
And thereupon I request you all three, namely Mr. Briggs,
together with Mr. Miller (for that I have been given to un-
LETTERS ON SCIENTIFIC SUBJECTS. 53
derstand your mathematic lecturer's name is) and yourself, to
have me commended to Mr. Bainbridge, with whom it seems
you are familiarly acquainted ; and tell him, whereas toward
the end of his Vespers' lecture, the last act, wherein he dis-
coursed of the reformation of the year and calendar, he very
sharply and bitterly inveighed against certain absurd periods,
whereby some went about to restore the same : I desire to
know (which I would further have asked himself, if I could
have had any more speech with him, or with Mr. Briggs at
that time) whether he meant mine or no ? And if mine (be-
cause I know none other that hath insisted in the same course),
what it is that mislikes him in them ? whether they are not
framed according to the right definition of a Period or Annus
Magnus ? or whether they be not sufficiently demonstrated,
because without a diagramme, to whit, linear, and properly so
termed ? which then it will be his part to overthrow by in-
stance, propounding some other briefer or better, of another
manner and structure, than of Enneadecaeterides and Hen-
decaeterides : not Vieta's (consisting of 3400 Julian years), as
great a mathematician as he was, and as well skilled in dia-
gramms : which (if upon such a sudden, amidst the clutter-
ing noise of my labourers about mine ears pulling down my
house, and the hammering of my masons to build a new, I
rightly conceive) to make a truly defined period, he must
correct it by my rules, making it shorter by one whole month
of 29 days than Vieta himself propounded : and so equalling
it to eleven halfs of my great period together with my duode-
narie period. Or whether he thinks not any period at all
profitable or needful for the restoring of the year and calen-
dar? But, and if my form of calendar displease him; it may
please him to understand, that the calendar is not of the
essence, but an accident to the period: as whereunto any
form of either lunar or solar calendar may be accommodated ;
even the Julian itself: as I have well-nigh two years since
declared in the preface of my three Diatribae, as some of my
learned and worshipful friends can bear me witness : there
being the same reason of the more ancient solar calendar of
Dionysius Alexandrinus, and of the Augustan Alexandrinian,
with twelve tricenary months, and five or six days appendices ;
more commodiously to be placed immediately before either
equinox, or the aestine solstice. Hereof I desire an answer
with as much convenient speed as you can procure it : and so
I commit you to God's gracious protection.
Yours,
THOMAS LYDYA.T*
54 LETTERS ON SCIENTIFIC SUBJECTS.
THOMAS LYDYAT TO SIR HENRY MARTIN.
[MS. BodL 313.]
To the right worshipful his ever honoured tutor, Sir Henry
Marline, Judge of the Court of Admiralty, fyc., in our
Lord and Saviour Christ, health and prosperity of soul, body
and whole estate.
Sir, — My request unto you is to move Sir John Wolsten-
ham (and whomsoever else you know likely, after so many
defeates and discouragements, to give yet another essay to-
wards the finding of the Northern passage to the west of
America and the East Indies, so long sought for by our Eng-
lish nation,) to give entertainment to a scholar, the son of a
citizen of London, being sorted with a good and discreet
captain or master, a skilful pilot and well experienced in the
northern icy seas, and some thirty or fourty other, honest,
sober and industrious men, to give his best advice, and do
his true and best endeavour, for the discovery of the coasts
under the North pole, and within ten degrees round about,
especially beyond it : and from those parts so discovered,
with the trending of the land, and the channels and currents
of the sea diligently observed, and the stopping and clearing
thereof with and from the ice duly noted and marked, to find
out the passages, and fittest passage to the aforementioned
places. For which his endeavour and enterprize of discovery
of those polar regions undertaken upon hope of good success
through Almighty God's gracious guidance, assistance and
blessing, he demands the loan of thirteen hundred pounds to
be presently (within this fourtnight) laid down for the pay-
ment of his debts, upon good security of lands and goods
pawned to the value therof, for four years. Within w?hich
time, if the same Polar regions be discovered, then all those
lands and goods to be clearly released and resigned to him
and his assigns for his recompense, without repay of any
money : or in case he die in the voyage, yet if by the occasion
and means thereof the aforesaid discovery be made, the same
recompense to be made in like manner to his lawful heirs ac-
cording to his last will. But, and if it please God of His in-
finite mercy, that by the same means the Northern passage
be found out as far as to New Albion discovered from the south
by Sir Francis Drake on the west part of America, or Japan
on the east of Asia ; then, upon the ascertaining of such dis-
covery, there shall be added to the former sum seven hundred
pounds more, to be paid to him or his assigns by his will.
LETTERS ON SCIENTIFIC SUBJECTS. 55
And in whatsoever plantations or colonies of the British na-
tion hereafter propagated and established upon occasion of
this discovery, that is to say,, in those places, and by such
passage; there shall be duly and truely paid the tenth in
kind of all manner commodities whatsoever accrueing by sea
or land, to the maintenance of an able ministry of God's word,
and schools of all manner of good learning, in the same. Lastly,
upon the acceptance of this offer, there shall be given to the
maker thereof, in way and manner of earns, a pair of the
largest, newest and best globes, and twenty nobles in money,
to the furnishing him with books of like argument, for the
better performance thereof.
So desireth (the l?th of October, 1626.)
Your distressed old pupil,
THOMAS LYDYAT.
Concerning the motion that was made to me the other day
by Sir D. D. about going to Constantinople with the new
ambassador that is shortly to go thither ; I do not desire it
otherwise, than there to get a pass to travel to some of the
principal cities in Greece, Natolia and Syria, and to Alex-
andria and Cairo : and thence by means of the patriarch of
Alexandria and the Abasen pilgrims, that travel yearly that
way to and from Jerusalem, to go in company with them into
Ethiopia, unto mount Amara, to know the truth of what hath
been reported touching the library there ; and thereabouts to
study in divinity, history, and astronomy. If this may be
effected, I shall think myself much beholden to them, by
whose means it is effected. But in the meantime I want
fourty marks to print mine almanacks : anoV(I should have
said first) to buy me a suit of apparel to defend me from the
cold.
November 30th, ] 626.
THOMAS LYDYAT.
HENRY BRIGGS TO JOHN PELL.
[MS. Birch. 4395, Orig.J
Merton College, October 25th, 1628.
Good Mr. Pell, — I must acknowledge that I receyved your
former letter, but my many occasions at that instant and my
suddaine longe journey into the northe, not knowinge ether
56 LETTERS ON SCIENTIFIC SUBJECTS.
who brought your letter or by whom to returne my answere,
were the occasions, as I now remember, that you have beene
put to this second trouble. Now I shall indevoure to give
you suche satisfaction as I can, and seinge I do not know
who brought this letter, or by whom more conveniently to
sende, I purpose to sende mine answere to London, from
thence to be brought to Trinity College where I hope it will
finde you.
1. For your first demande (seinge I do not know whose
lines you use, my answer wil be somewhat more uncertaine,
and it may be the author whom you followe would satisfie
you more fully,) 'tis well if I can satisfie for mine owne de-
fectes. These artificiall numbers (injuriously named sines)
are not made for degrees, minutes, &c., but for the true sinus
dati cujuscunque gradus et minuti : therefore if you first finde
the true sine of any arke, the Nothi may best be found by the
generall rule set downe in 14 cap. of my booke, Dato cuilibet
numero absolute, Logarithmum congruum invenire et contra.
But if this seeme too tedious, you may use the parte pro-
portionall. If 60 minutes or secondes rather (for the minutes
are expressed in the printed tables) give the whole difference
inter duos proximos ; what shal be the difference to be added
or subtracted for 27" or any other number; but in the parte
proportionall we muste not expect suche exact precisenes as
in the former, especially if there be any notable inequalitie in
the differences next adjoyninge : where we may not safely
trust proportion, as namely in the artificiall sines of the be-
ginninge and ende of the quadrant. But if you be willinge
to inlarge some parte of your table to secondes, I have ex-
pressed the maner in my booke cap. 12, and more easily
cap. 13, where first you may inlarge them to fiftes of minutes
or to 12"; and if you be at leisure afterwards to 24" or to
the 25 parte of a minute; then (the differences beinge brought
more nere to equalitie) you may somewhat more safely trust
the parte proportionall.
2. Concerninge the logar. of all fractions proper or impro-
per, see my 10 cap. and for a generall rule take this, Diffe-
rentia logarithmorum numeratoris et denominators est loga-
rithmus datarum partium. As of f 017609125905568 of f
—017609 etc. of yT° 034678748622466 of T%% —034678 etc.
And contra, to finde the absolute number of any logarithme,
seeke the logarithme in the tables, and if it be there you shall
have the absolute number in the m argent; if it be not there,
then by the parte proportionall you may come nere it, so that
if neede be, you change the characteristica as is prescribed in
the 1 1 cap. de qua in 4 cap., for so there wil be lesse defect in
LETTERS ON SCIENTIFIC SUBJECTS. 5?
the parte proportionally when the tabular differences are nerer
to equalitie, by whiche meanes you shall come to the nume-
rator of your fraction whose denominator is alwaies 1000 etc.
For example, the log. of 10 is 1.0000 etc. ; therefore the log. of
the V of 10 must be 050000 (for we must very warily regard
the characteristica, otherwise the answer wil be false), alter
the characteristic and it may be + 50000 and in 32 chiliads
you shall finde the absolute number next under that whiche
you seeke is 31622 ; this must be augmented by the part pro-
portionall, whiche is 7763, so that the number is 316227763 ;
now seinge the characteristic is 0, till I did augment it, it is
apparant that the roote of 10 is 3j-f §§££§§, or rather
3,16227763 as I usually write it. But this aggreethe not withe
the roote sett downe in the 10th page of my booke. I must
confesse it. The parte proportionall is alwaies in these cases
somewhat defective: see my 16. cap.
3. Concerninge Mr. Wingate's booke I hope well that all
he saithe are true ; but I have not so advisedly looked on it,
that T may justly ether except or approve all; but if you
please to mention in your next any particular, I shall tell you
mine opinion.
4. My desire was to have those chiliades which are want-
inge betwixt 20 and 90 calculated and printed, and I had
done them all almost by myselfe and by some frendes whom
my rules had sufficiently informed, and by agreement the
busines was conveniently parted amongst us: but I am
eased of that charge and care by one Adrian Vlacque an Hol-
lander, who hathe done all the whole 100 chiliades, and
printed them in Latin, Dutche and Frenche, 1000 bookes in
these three languages, and hathe sould them almost all ; but
he hathe cutt of four of my figures throughout, and hathe left
out my dedication, and to the reader, and two chapters the
12 and 13, in the rest he hathe not varied from me at all.
And thus I have desired to make an amendes for my an-
sweringe no sooner. If yet there remaine any scruple, if you
please to write the thirde time I shall be desirous to give you
further satisfaction. And so commendinge you and your
studies to the gratious blessinge of the Almightie, I take my
leave, ever rt stinge,
Your very lovinge frende,
HENBIE BBIGGS.
58 LETTERS ON SCIENTIFIC SUBJECTS.
THOMAS LYDYAT TO HENRY BRIGGS.
[MS. Bodl. 313.]
Bocardo, October 31st, 1628.
Mr. Briggs, — After a full year gone and past, from the
time I delivered you the two little notes in August (was
twelve months) which you say you lost : I did, though with
much adoe, enforce myself to make them again. The cause
of my then committing them unto you, had I not told you,
you must easily conceive, was to have your judgment of them,
to the end that afterwards I might shew them unto others of
my worshipful friends to be motives to stir them to do some-
what for me, either to the helping me out of prison, that was
and is my most desire and main suit : where, through the ex-
ceeding care that I had the last year to discharge my debts
as fast as I could, and indeed faster than I well could; I
thank God for all ! I was as near starving for hunger, about
the time you were last with me, in February, as I think ever
poor prisoner was that scaped it. I had sent you this copy
as soon as I had new made it, but that I understood you were
from home. In the meantime I sent it to New College, to
Mr. Stringer, by him to be delivered to Mr. Warden : who, I
thank him, the other day brought it to me again himself.
As I wrote to Mr. Stringer, I dare not say it is to shew the
probability of so great a refraction, for fear lest all the astro-
nomers on this side the hither tropic have me by the ears for
it : but only the possibility : leaving the full determining of
the business, till I come either under the North pole, accord-
ing to the letter I sent you this time twelvemonths, or over
the Cape of Good Hope ; whither I say, to the one place or
to the other, even to the world's end, I pray God send me
safe, so out of prison. I shewed it not long since to Mr.
Pesor, at his kind visiting me, which, I thank him, he hath
often done ; at what time he told me, to my comfort, he was of
my mind, that astronomy would never be perfited until there
were some astronomical observations made under the aequi-
noctial, and beyond the farther tropic, to be compared with
ours. Now I send you the same again, to the same ends
that I committed them to you at the first. Good Mr. Briggs,
do not lose these too : but unperfite as they be, let me have
your judgment of them, within this sennenet or thereafter, as
your leisure will permit. So with mine hearty commenda-
tions, and thanks for all your kindnesses, I bid you farewell.
Your's,
THOMAS LYDYAT.
LETTERS ON SCIENTIFIC SUBJECTS. 59
A PAPER ON THE WEIGHT OF WATER, BY THE
DUKE OF NORTHUMBERLAND.
De pondere aquae, quo premuntur ij.9 quibus altius incumbit.
Qucestio ab illustrissimo domino Henrico Comite Northum-
brice proposita, et ventilata.
[From Addit. MS. 6789.]
Quam sit illud verum quod vulgi sermone tritum novimus ;
errorem quantumvis exiguum in principio, mobilitate vigere,
sed ad finern in immensum excrescere, et quotidiana experien-
tia probat, et quaestione hac proposita dilucide constat. Nam-
que cum initio libri, de iis, quae vehuntur in aqua, Archimedes
posuisset instar principii Postulatum quoddam, de motrice na-
tura Aquae, et partes ejus minus pressae cedant loco magis
pressis : ab hoc Axiomate vel non clare ab eodem enunciate,
vel perperam ab aliis intellecto, quantum in errorem prae cae-
teris prolapsus est Simon Stevinus, qui labi cum eo una no-
lunt, mecum jam convenit, ut animadvertant. Itaque tria erunt
nobis seorsim, et breviter tractanda.
Primo statuendum est, quis sit genuinus sensus ejusdem
Postulati Archimedei.
Secundo manifestandus est error Stevini.
Tertio asserendus est consensus Phenomenon, experimen-
torumque ipsa cum veritate juxta intentionem ejus postulati
idque maxime ad praesentis quaestionis solutionem.
De Primo.
Proponit Archimedes Postulatum illud suum hujusmodi.
Ponatur humidi naturam talem esse^ut partibus ejus ex aequo
positis, et continuis, minus pressa a magis pressa extendatur.
Omnis vero pars humidi urgetur ab humido existenti supra
illud in perpendiculo, si humidum ipsum sit descendens ali-
quo, aut ab aliquo pressum.
CHRISTOPHER POTTER TO WILLIAM BOSWELL.
[MS. Bodl. 313.]
March 28th, 1632.
Sir, — I shall be most willing to help forward your cha-
ritable intention towards Mr. Lydyat (a man of great merit,
and who might be useful to the public if he were freed from
this miserable condition) and to serve you on this or any other
60 LETTERS ON SCIENTIFIC SUBJECTS.
occasion with my uttermost forces. I have effectually treated
with Mrs. Hare, and desired a worthy friend of mine, Dr. Pink
ot New College, and Dr. lies of Hart Hall, who hath much
power with her, to assist me in this treaty. The gentlewoman
much complains of the injustice of him and his brother, and
of their dealing with her, and says in effect that the sum now
due to her is 200/. : that they are able enough but not willing
to satisfy her, that they have received not long since 500/. for
land sold, that they have defeated many other poor men in
this kind, that Mr. Thomas Lydyat's personal debt to her is
50/., that he threatened to feed his brother in prison with her
money, that being here in Bocardo he was wont to flout and
jeer her as she passed the streets, and to say he \vould make
her jet it in one silk gown the less, that he is now building a
new house upon his benefice and therefore is not so poor as
he pretends, &c. All this and more she avows with great
confidence, and seems more sensible of their scoffs than of
any other injuries. Yet to gratify so many worthy friends as
have moved her in this business, she is content to remit 120/.,
and to take for all 80/., as 50/. in land, and any honest man's
band (but she clearly refused to deal with either of them) for
the 30/. in some reasonable time, two or three years. Here
is the utmost point to wjhich for aught I can guess, she will
be drawn. She says, further, that she is aged, and a \voman
not able any w ay to improve her small store upon which she
lives: that she maintains a great number of her necessitous kin-
dred, and is forced with her great expence by law to right
their injuries: that she is charitable, but doth not believe
Mr. Lydyat's fit objects of charity : that she yields all this to
his friends and hers, nothing to him.
For my part I cannot believe that Mr. Lydyat, a wise man
and a scholar, would forget himself so far as to taunt and
flout her. Both he and she sure have been abused by some
talebearer. Yet methinks it would not be amiss if Mr. Ly-
dyat did clear himself to her for that contempt, which most
deeply she apprehends, andbyhis letter give her fair satisfaction.
Some soft words to that purpose may yet a little more mollify
her. And for the main matter, you being so worthily pleased to
help him so liberally, what if he laid on his benefice a pen-
sion of 10/. for three years to pay her, or procure his brother
to pay it, as in reason and conscience (if he have any; she
thinks it very small) he ought. But she will have nothing to
do with them. Here's the best account I can give you of this
negociation.
When you go into the Low Countries ; and when you are
there, I shall ever attend you with mine hearty prayers that
LETTERS ON SCIENTIFIC SUBJECTS. 61
you may do God and his church, and this whole state such
good service as all that know you do assuredly expect.
I shall be ever, Sir,
Your most affectionate friend to honour and serve you,
CHARLES POTTER.
THOMAS LYDYAT TO WILLIAM BOSWELL.
[MS. Bodl. 313.]
Mr. Boswell, — Although the course that you have taken in
my business, to treat with Mrs. Hare for some remission, be
diverse from the intent of my petition, (the preferment where-
of to his Majesty and procuring a gracious answer, was my
whole suit unto you,) yet have I that opinion both of your
true well-meaning toward me, and of your wisdom, that you
did it in sincere good-will unto me, and for the best. For by
this means, to move the more commiseration of my case, is
the extremity of mine adversary's hard dealing with me, not
only manifested and confirmed, but also aggravated, yea
doubled. It is manifested and confirmed, in that she hath
partly concealed and smothered, and partly altered and falsi-
fied, the true state of our controversy, and manner of my debt
unto her ; as you may perceive by my petition, whereunto, to
avoid needless repetitions, I refer you : wherein that 1 have
truly stated and declared the one and the other, both my bro-
thers and nephews grants under their hands and seals, that I
have to shew, will evict, and our whole country both can and
will testify on my behalf. And this main wrong of her con-
cealing and shifting and falsifying the state of the contro-
versy, is aggravated, yea, at least doubled, by her heaping
thereupon a sort of slanderous reports to my defamation, a
greater wrong than my five years5 imprisonment, (yet I ac-
count that so great, that although she were worth a brace of
thousand pounds more than she is worth, she could not make
me amends for it,) whereby she would make the world believe
she hath cause to deal so uncharitably and unconscionably
with me, which otherwise she would not choose but be
ashamed of. The unlikelyhood of my threatening to feed my
brother in prison with her money (whereof I never received
nor was surety for ) you may easily conceive by my
complaining in my petition of , wilfully defeating me of
their grant made unto me, after I had so far engaged myself
in their debts. Touching my being wront in Bocardo to flout
62 LETTERS ON SCIENTIFIC SUBJECTS.
and jeer her as she passed the streets : in the whole time (a
year and three quarters) of my being there., I was never aware
of her passing by., but only once, that she was shewed me, at
which time the party I was then walking and talking with will
testify I used no surly unseemly speeches or behaviour toward
her. And as for her objecting in special, that I was wont to say
I would make her jet it in one silk gown the less ; she therein
bewrayed herself to be a weak woman, of less wisdom than she
would be taken to be. I was never thrice in her company,
nor did I ever to my remembrance take so much notice of
her, as that she went in a silk gown. Alas ! silly woman, as
if I had nothing else to busy my wits about, but to mark
what gowns she and her like went in. But indeed the de-
fenture of a silk gown is a fit object for a haughty- spirited
woman's malice to work upon. That I am building a new
house upon my benefice, and therefore not so poor as 1 pre-
tend, is a senseless imputation : mine old house being so
ruinous as that my predecessor was afraid to lie in it, I began
to build a new, and raised it out of the ground girdle steed
high, before my brother bewrayed his estate, or ever I had
undertaken any part of his debts : at what time there was no
staying of it, the old being for the most part already fallen or
pulled down, and my workmen entertained for the building of
the new ; the building whereof nothing sumptuous, but suit-
able to the place and living, as every one that sees it acknow-
ledgeth, cost and impoverished me an hundred pounds, which
cost should have been at that time spared, and that business
at leastwise defferred, if I had been acquainted with my bro-
ther's estate before I undertook it ; and the finishing thereof,
with the building of the outhouses all likewise ruined, for
which I have been threatened to be sued for dilapidations,
will cost me fifty pounds more ; which conscience binds me
to repair rather than pay another man's debt to Mrs. Hare, un-
dertaken upon a grant whereof I am defeated. Thus I find it
a calamity common to me with other of my fellow-prisoners,
that our adversaries are fain to catch after and blaze abroad
slanderous reports against us, to blear the eyes of the world,
that they have reason to deal extremely with us. But I hope,
Sir, they shall not blear yours, and much less our gracious
Sovereign's ; unto whose gracious answer to my petition (to
be presented by your means, upon the preferment thereof to
his Majesty, being my whole and only suit unto you, for
which I shall endeavour to shew my self accordingly thankful,)
I most humbly recommend me ;
Remaining yours to be commanded in all Christian duties,
THOMAS LYDYAT.
King's Bench Prison, April 4, 1G32.
LETTERS ON SCIENTIFIC SUBJECTS. 63
THOMAS LYDYAT'S PETITION TO CHARLES I.
[MS. Bodl. 313.]
To my dread Sovereign Lord, the King's most excellent Ma-
jesty, Charles, by the Grace of God, King of Great Britain,
France, and Ireland ; Defender of the Faith, fyc.
May it please your Majesty, — Mine humble petition to
your Majesty is, that you would graciously vouchsafe to grant
your Royal Privilege to me and mine assigns, for our sole
printing of all such books, tables and writings, as I have made
or hereafter shall make ready to be set forth and published in
print, and of all other such authors, not yet extant in print, or
imperfectly extant, as wanting a good and proportionable
part of their whole works, as I shall find and procure to be
printed ; as also of all such translations into Latin, English,
or other languages, and commentaries and annotations, as I
shall make thereupon, for their better explanation ; with suf-
ficient penalty upon the offenders within your Majesty's domi-
nions. And moreover that your Majesty would vouchsafe me
your gracious leave and license to travel into foreign parts,
as I shall find fit opportunity, namely, into Turkey, and
Ethiopia, or the Abysinian Emperor's country, to search and
find copies especially of civil and ecclesiastical histories, to be
published in print ; and whatsoever other copies may tend to
the propagation and increase of good learning ;
Also, that your Majesty would graciously be pleased, that
where you have leiger-ambassadors and agents, with your
confederates, emperors, kings and princes of the countries,
they may in your Majesty's name, in the behalf of myself and
mine assigns, and at our suites, move their highnesses to
grant the like privileges as aforesaid to me and mine assigns,
within each of their dominions. So desireth, that the whole
world may worthily acknowledge your Majesty's care for the
advancement of the commonweal of good learning,
Your Royal Majesty's loyal subject,
Humble petitioner and daily oratour,
THOMAS LYDYAT.
The Books and Tables that I have heretofore set forth in print,
and now ready to be reprinted.
Praelectio astronomica.
Disquisitio physiologica de origine fontium.
Tractatus de variis annorum formis.
Defensio de variis annorum formis contra Josephi Sca-
ligeri obtrectationem.
64 LETTERS ON SCIENTIFIC SUBJECTS.
Solis et lunae periodus octodesexcentenaria. ,
Epistola astronomica.
Numerus aureus melioribus lapillis insignatus.
f Dedicated to your Majesty's
Emendatio temporum. I dearest brother, the Most No-
Recensio argumentorum. | ble Prince Henry of blessed
(^ memory.
These that I have now to print, not before published.
Prooemium trium diatribarum astronomicarum.
Diatriba ; et animadversiones astronomicae.
Problema astronomicum.
Circuli dimensio Lydyatea, Archimedea succenturiata.
Marmoreum chronicon Arundellianum, cum annota-
tionibus.
Divina sphaera humanorum eventuum. — Observed during
mine imprisonment, and dedicated to your Majesty.
THOMAS LYDYAT TO THE ARCHBISHOP OF
CANTERBURY.
[MS. Bodl. 662.]
May it please your Grace, — Being desirous to finish and
publish, as I hope for the greater good of the church of God
and of my country, and the commonweal of good learning,
sundry books and treatises begun by me, partly before and
partly during the time of my long imprisonment, to the
finishing whereof I cannot be so conveniently provided of
books at my small benefice in the country as in London, Ox-
ford, and other like places, furnished with libraries and
shops of books of all sorts ; and moreover whereas the pub-
lishing of them will require my personal attendance for the
correcting of the printer's press; mine humble petition to
your Grace is, to grant me to that end and purpose, a dispen-
sation for absence from my small parsonage and rectory of the
parish church of Alkerton in the county and diocese of Ox-
ford, for three years ; and for the drawing and sealing thereof
by the master of your Court of Faculties, to subscribe this
petition with your hand, which your gracious respect I shall
thankfully acknowledge.
Your Grace's humble petitioner,
THOMAS LYDYAT.
Tendered, July 2nd, 1634, and deferred till Michaelmas following.
LETTERS ON SCIENTIFIC SUBJECTS. 65
WALTER WARNER TO ROBERT PAYNE.
[MS. Birch, Brit. Mus. 4279, fol. 290, Orig.]
Westminster, October 17th, 1634.
Good Mr. Payne, — For the problem of refractions, which
you write of, I pray you by any meanes send it to Mr. Hobbes,
together with my most harty love and service, or whatsoever
els you shall receve from me that may be thought worth the
communicating, yf it plese you to impart it to him, you shall
do me a plesure. For 1 have found him free with me, and I
will not be reserved with him, yf it plese God I may live to see
him again. That analogy which you have, though it be
but a particular passion of the subject it concerns, yet it is
very conducible to the theory and investigation of the cause
of refraction, the intention whereof ex principiis opticis is the
grettest magistery in the optik science, and for the practise
it is of that consequence, as without it the table of refractions
for glasse and crystall, which is of grettest vse, can never be
constructed, without which table the dioptrick part of that doc-
trine, which begins not by reson of the glasses to be in grettest
esteem, will still remayne imperfect, at best not in that degree
of perfection by much, as by the help of a well constituted
table of the angles of refraction the busines, as I conceve it,
might be brought to. I would be very glad to see Monsr.
Mydorge's way ; yf he make a secret of it, I doubt not but
Mr. Hobbes will know how to trafik with him. So I rest
Your very loving and true friend,
WALTER WARNER.
ROBERT PAYNE TO WALTER WARNER.
[MS. Birch, Brit. Mus. 4279, fol. 171, Orig.]
Welbeck, June 21, 1635.
Worthy Sir, — I have here returned you back your papers,
conteining the probleme of the mid-ship-mould. Sr Charles
and myself have perus'd them, but cannot understand more
of them then is written in Latine ; the rest we suppose are
notes of remembrance, which serve well for your use, but give
us not light sufficient to understand your meaning. Only the
sixtene cases we apprehend well ; but the demonstrations of
them we yet understand not, farther then that in the Latine
F
66 LETTERS ON SCIENTIFIC SUBJECTS.
holds. We desire, therefore, you would at your leysure in-
struct us farther in the demonstrations of all the cases re-
mayning, which I suppose you can easily and soone doe out
of the severall figures in the English paper. We long to
heare fro you and to receive those things you promis'd. My
Lord would gladly be a partaker of, and a student in your
philosophicall discourses, if you would impart them to him.
He is much taken with the device of your perspective glasse
and desires you would calculate a line for it, at a good propor-
tion, as 40 to one, that we might see whether it would hold
good in practise as well as it seems in speculation ; and if it
doe, he will be ready to further you in any way you shall
desire. Both his Lordship and Sir Charles recommend their
love to you and soe does
Your friend to serve you,
ROBERT PAYNE.
SIR CHARLES CAVENDISH TO WALTER
WARNER.
[MS. Birch, Brit. Mus. 4405, fol. 161, Orig.]
Welbeck, May 2nd, 1636.
Worthie Sir, — Though I have had some diversions, yet I aske
your pardon that I have bin so longe before I returned you
thankes for the two tracts you were pleased to send me ; I
five you manie thankes for them, and esteem (as they justlie
eserve) verie greatlie of them. I received latelie a letter
from Mr. Hobbes, where amongst other things he sent me
this paper heer inclosed, which is an experiment of the place
of the image of a thing contrarie to the olde tenet ; a candle
being put into a glasse of a cylindricall forme, the image hangs
perpendicularlie over the candle itself, as is expressed in this
figure, and not at the concourse of the perpendicular from the
object with the visuall line which in this figure is at the point
A. Mr. Hobbs conjectures that the approach of the image
proceeds from the strength of action from the object, which
is greater heere than in a plaine^ by reason of the concavitie
of the cylinder which gathers the beames, and by that meanes
makes the motion or streame of the reflected beames stronger.
I desire at your convenient leasure to have your opinion of it,
as also of this place of the image in convex glasses. I have
LETTERS ON SCIENTIFIC SUBJECTS. 6?
sent you by this bearer, Mr. Butler, twentie pounds as our
acknowledgment of your favoure. And so wishing you all
hapiness, I remaine
Your assured freind,
CHARLES CAVENDYSSHE.
SIR CHARLES CAVENDISH TO WALTER
WARNER.
[MS. Birch, Brit. Mus. 4444, fol. 91. Orig.]
Wellbeck, September 2nd, 1636.
Worthie Sir, — I give you many thankes for the two tracts
you sent me, one of the place of the image in concave and
convex glasses, and the other of the making of prospective
glasses. I will not trouble you with a repetition of some
doutes which Mr. Payen and I have of some things in these
tracts, but refer you to his letter, for he hath promised me to
write to you of them. The greatest doute that I have in your
tract of the place of the image is howe the eye can take notice
of the lateral I beames which are without the eye, for sight
being made, as you write, upon the retiform tunicle, I con-
ceive not howe we can take notice of the laterall beams which
are refracted before they come thither, or, as I conceive, we
take no notice of that refraction. Sir, you see the boldness
I take to trouble you, which your former favours have en-
couraged me to doe. And so wisshing you all hapiness, I
rest,
Your assured freind,
CHARLES CAVENDYSSHE.
ROBERT PAYNE TO WALTER WARNER.
[MS. Birch, Brit. Mus. 4458, fol. 26. Orig.]
Welbeck, October 3rd, 1636.
Good Mr. Warner, — Though the plague (thanks be to God)
hath not yet come nere us, yett we feele the ill effects of it.
One whereof is, the interruption of intercourse of letters fro'
us to you, and you to us.
I had some time since written to you concerning the two
tracts you sent last to Sir Charles Cavendysshe, but I was
not certaine where you were, or how my letter should come
at you. Now having notice of your continuance at Cran-
P 2
68 LETTERS ON SCIENTIFIC SUBJECTS.
borne lodge, and the conveniency of a passenger that way, I
have advertised these lines to you, desiring to heare from you
agayne by the next opportunity you can finde.
In your tract De Loco Imaginis, &c.,the theoremes you take
for principles, undemonstrated, require demonstration, as
much as the conclusion you would proove by them, which
yourself having first given notice of, I suppose it worth your
paines to send their demonstrations : and so to cleere the
manner of vision, how it is made, demonstratively ; for as yet
we take all upon probability.
But suppose these theoremes were demonstrated, there
is yet one maine doubt remaining ; and that is, how the sense
should take notice of the lateral! beames, which only touch
on the superficies of the eye, and enter not into it directly,
but refracted. And if the sense follow the direction of the
refracted beame, that leads it not to the
object. As suppose the lateral beame be
B O ; the refracted beame in the eye O A ;
the doubt is, how the sense can take no-
tice of B O without the eye, soe as by that
to be descried in the place of the image.
Whereas it seemes more probable the eye
should be sensible only of the beame O A,
which is within it ; but then if it follow
the direction of this beame A O, it will
lead it to P, against all experience. But it may be, the
cleare expression and good proofe of the manner how vision
is made, will satisfye this inquisition and cleare the doubt ;
I meane the manner how simple vision is made, and how in
that the sense judges the object without it to be in such a
place, and not short or further on ; for though this forme is a
thing evident of itself, yet when I consider it more seriously,
I finde it not sufficiently demonstrated by any I have yett
read.
Agayne, supposing the sight to be discovered on the lateral
beames, yet it is not thoroughly apparent why it should
judge the place of the object to be in the concurse of these
beames. You will say perhaps, else it would judge the ob-
ject to be in two places. This I well conceive as an absurdity
crossing under experience ; but the cause a priori is the thing
1 looke for and would have, if it may be had. And indeed
this lawe well cleered would necessary ly conclude the former,
except single vision may be made on one line, and then the
former doubt must be cleered by itself.
Concerning your other tract of the Prospective. The short
time I stayd with you permitted me not to take sufficient in-
LETTERS ON SCIENTIFIC SUBJECTS. 69
siructions from you to satisfye Sir Charles in the matter of
that calculation ; nor the effects of the glass focus according
to the measures of it. The doubts we conceive of its effects,
supposing the calculations right, are these.
1. How clere vision can be made, by beanies tending to an
angle in the eye : for this seemes contrary to one of the theo-
remes undemonstrated in your other tract : but your glass
drawes the beames to an angle on the eye.
2. How one beame can be sufficient to cause cleare vision
of the point whence it comes ; for soe your glass seemes to
be calculated, to refract ordinately but one beame from one
point of the object.
3. But if you say the glass so formM will convey all the
beames falling on it from one poynt ordinately to the eye,
this would be well demonstrated ; for else it would cause con-
fusion, and so destroy, if not all, at least clere and distinct
vision.
4. Lastly, supposing all before were made good ; the ques-
tion is whether the hand or toole of any artificer be able to
worke the formes or moulds, and consequently the superficies
of the glass soe true, as that to nature they shall be distin-
guished from other convexe superficies, as the spheriques,
coniques, &c.
Sir, I know it is a difficult taske for you to treat by letters,
but since we have yet no other way, and that the infectious
ayre hinders both yours and my gooing to London, where we
might meet to consider how to bring this to some good pass,
I desire you to doe us the favour, in the meane while, to write
to us as oft as you can.
I heare Mr. Hobbes is expected, with his charge, very
shortly. I doubt not but he will finde you out ; and by him
you may send your letters to us, if you can finde no other.
Or if you send your packett to one Mr. Boothe, steward to
the Countess of Devonshyre, at Byflett, nere Oatlands, to be
sent by him to me at Welbeck ; in regard of messengers that
pass between them and us, your letters will come to us that
way.
Sir, I beseech you present my humble service to the noble
knight and lady, where you are, as also to Mr. Aylsbury and
Mr. Hyde, with my hearty thanks to them for their favours.
Soe God keepe you and
Your faythfull friend and servant,
ROBERT PAYNE.
70 LETTERS ON SCIENTIFIC SUBJECTS.
THOMAS LYDYAT TO MR. ROUSE.
[MS. Bodl. 313.]
To his friend, Mr. Rouse, Fellow of Oriel College, and Keeper
of the public Library in Oxford.
Mr, Rouse, — Having occasion to send to Oxford, I have sent
you a copy of my period for Dr. Morrison, not so fair a one
as I would, (during mine imprisonment my papers of some
were many of them stained, and some quite marred with wet;)
but indeed all that I have left, except only that with Dr. Bain-
bridge his censure, and mine answer to it; a transcript whereof,
and of my postcript in the bottom of my table hung in the
library, being some part of it worn away, I have sent withal :
that you might the better understand what I said to you, of
hanging up a better in its place. I pray you remember my
service to Dr. Morrison : I would I were able to gratify him
or any of you all in a better matter. I pray you also, as you
have fit opportunity, remember me to Dr. Turner ; I was in-
deed very desirous to have spoken with him, and tarried all
that afternoon, the night following, and the next day, till past
nine oclock in Oxford, only for that cause : and when he sent
me word by his man, that I could not speak with him till two
oclock in the afternoon, the excuse that I made was true, that
my horse was weak, and borrowed but for a day : whereunto
I might have added, that the poor man of whom I borrowed
him (my nephew, the bearer hereof, lately one of your college
tenant's tenant in Kenington, whose errand to Oxford at this
time is to bring a child of his, one of my grand nephews, to
be a chorister in New College,) hath none other means to get
his living but by his teem, whereof that was one, and the
principal his fhiller: as all your college tenants and the whole
town of Kenington can witness : and therefore I was loth to
adventure the wronging of him in that kind ; especially this
busy time of harvest, and opportunest time of the year to cart
any whither. Otherwise I could have been content to have
further attended Dr. Turner's leisure. So with remembrance
of my duty to my betters, and with my duty and my best
service to my good nurse the University of Oxford, I remain
Yours to be commanded in what I may,
THOMAS LYDYAT.
Allerton, Aug. 2, 1638.
LETTERS ON SCIENTIFIC SUBJECTS. 71
NATHANIEL TORPORLEY TO THE DUKE OF
NORTHUMBERLAND.
[MS. Birch, Brit. Mus. 4409, fol. 87. Orig.]
July 5th, 1632.
May it please your Lordship, — I presumed heretofore to
move your Lordship on the behalf of Mr. W. for some con-
sideration to be had of his extraordinary expense in attending
the publication of Mr. H.'s book, after the copy was finished.
The same humble request I am induced to renew by reson of
his present wants, occasioned by that attendance.
For his literary labour and paines taken in forming the
work and fitting it for the publick view, he looks for no other
reward then your Lordship's acceptance thereof as an honest
discharge of his duty. But his long attendance through un-
expected difficulties in seeking -to get the book freely printed;
and after that was undertaken, the frivolous delaies of the
printers and slow preceding of the presse, which no intreties
of his or mine could remedy, drew him to a gretter expence
then his meanes would bere, including both your Lordship's
pencion and the arbitrary help of his frends. It is this ex-
traordinary expense, which he cannot recover, which makes
both him and me for him appele to your Lordship's goodness
and bounty for some tollerable mitigation therof.
I purpose, God willing, to set forth other peeces of Mr. H.,
wherein, by reson of my owne incumbrances, I must of ne-
cessity desire the help of Mr. W., rather then of any other ;
whereunto I find him redy enough, because it tends to your
Lordship's service, and may the more freely trouble him, yf
he receive some little encouragement from your Lordship to-
wards the repairing of the detriment that lies still upon him
by his last imploiment. But for the future my intention is
to have the impression at rny own charge, and not depend on
the curtesy of those mechaniks, making that which
may seeme to be saved by the other way, will not counter-
vaile the trouble and tedious prolongation of the busines.
But the copies being made perfect and faire written for the
presse, they shall be sufficiently bound to deliver the books
perfectly clen out of theire hands, and by this meanes the
trouble and charge of attending the presse will be saved.
Therefore, my Lord, what you do now will be but for this
once ; and in such proportion as shall best like you to favour
the humble motion of him who is
Allway most redy at your Lordship's commaund,
T. A.*
* This letter, although signed by the initials T. A., is in the handwriting of
Torporley, and from that circumstance and the subject matter of the letter, there
72 LETTERS ON SCIENTIFIC SUBJECTS.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 143. Orig.]
Wellingor, January 8th, 1641.
Worthie Sir, — I have not much to write to you of, onelie
I have heard nothing of those bookes you writ to me of. I
have sent you hereinclosed what Mersennus latelie sent me.
I desire you will doe me the favoure to write it oute and send
it me, for I confess his hande is an Arabicke character to me ;
I praye you keepe his paper till it please God wee meete. I
doute heer hath bin ill weather for Mr. Reeves to worcke in.
And so wisshing you all hapiness, I rest
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 146. Orig.]
Wellingor, Feb. 5, 1641.
Worthie Sir, — I thanke you for your letter and the tran-
script of Mersennus problem ; if he hath read Mr. Brigs or
Mr. Oughtred I wonder he would send it, but it maye be he
hath found it the analyticall waye himself. I am glad Mr.
Reaves was in such forwardness when you writ; but I doute
the glass (which I hope is nowe finished) is not of the same
which you tried your refraction in, because Mr. Reaves hath
broken in his triall so much glass, that I doute there is none
left of that which you tried your refraction in ; but I hope
fine glass differs so little in refraction that it will not doe us
much harme. I hope you goe on with your owne analyticall
worcke as your occasions will permit you. I have no more
at this time to trouble you with, but remaine
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
can be little doubt but that it was written and composed by him. There is no
direction to this letter, but the allusion to Warner's pension shows to whom it
was addressed. It is scarcely necessary to observe that the initials W. and H. are
intended for Warner and Harriot. This letter will serve to show the reason why
Torporley afterwards attacked the work of Harriot : he doubtless failed in some
application to the Duke of Northumberland, and his well-known irascible temper
converted his previous respect for Harriot's memory into hatred. See my Life of
Sir Samuel Morland, p. 28.
LETTERS ON SCIENTIFIC SUBJECTS.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 134.]
Wellingor, June 26, 1641.
Sir,, — I perceive oure business of making the perspective
glass proceeds not, and I knowe not well howe to help it,
unless there be some as good matter to make glass in some
other place to be bought, for it seemes that at Broadstreet
will not be had; I am not willing to trouble Sir Robert
Mansfeild about it, though I thinke he would not denie me.
Therefore, if you or Mr. Reaves can finde fitting matter for
us somewhere els, ye should doe me a greate favoure ; Broad-
street I suppose will be the best place to make the glass, when
ye have bought the stuff to make it of. I shall write to Mr.
Reaves to give us his help herein. I must againe thanke you
for your waie of ordering aequations, and doe desire that you
will proceed in your intended analyticall worcke, as your oc-
casions will give you leave. I desire to knowe if Mr. War-
ners analogicall worck goe on or not. And so wisshing you
all hapiness I remaine
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
If you knowe an easie and readie waie to measure the re-
fraction in water, you should doe me a favoure to let me knowe
it ; for I confess I knowe none.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 136. Orig.]
Wellingor, Julie 24, 1641.
Worthie Sir,— I am glad to heare you have got some glass ;
I hope it is good and fit for oure purpose, for I should be
unwilling that you and Mr. Reaves should bestowe your
paines upon course glass. When you have tried what the
refraction is in that glass I desire to knowe it, and allso howe
you like the glass. I have latelie received some propositions
out of France, some demonstrated and some riot, but I will
not divert you from the business you have in hand. I am
glad you have begun the analogiques, and hope allso that you
proceed in your owne analiticall worcke. And so wisshing
you all hapiness, I remaine
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
74 LETTERS OX SCIENTIFIC SUBJECTS.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 139. Grig.]
Wellingor, November 20th, 1641.
Worthie Sir, — I hope Mr. Reaves is in a good forwardness
with the convex glass ; 1 dout not but you will trie all con-
clusions with it, which may conduce to informe you whether
it be an hyperbole or no ; as allso what proportion the dia-
meter of the glass hath to the line of the contracted beames
of the sun at the pointes of concourse ; as allso to observe
wrhat aparances are made, the eye being placed in, before, or
behinde, the pointe of concourse ; and in the mean time, be-
fore the concave glass be made, to trie whether my concave
glass which you have, will in anie sort fit it. Sir, I leave the
further scrutinie of this to your better consideration, and
wisshing you all hapiness, remaine
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
I praye you comend me to Mr. Reaves when you see him.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 141. Orig.]
Wellingor, December 18, 1641.
Worthie Sir, — I thanke you for your letter of December 13.
I am glad Mr. Reeves is so well fitted for oure worcke ; when
he hath done it, I dout not but you will make all such trialls
as maye give you satisfaction whether it be a true hyperbole
or not, and then proceed to the making of the concave glass ;
if this fit it not, I shall still be in hope that a concave on both
sides will. I have not (to my remembrance) scene Henis-
chius arithmetick, nor should desire, for his mislike of de-
monstration by letters ; yet if you thinke there be anie thinge
in him considerable, which is not in Vieta or de Cartes, I de-
sire you will send it me, and Mr. Moselei will paye for it, as
allso for Schemer's Ars Nova Delineandi. I confess I expect
not an exact booke of analiticks till you perfect yours. And
so wisshing you all hapiness I rest
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
LETTERS ON SCIENTIFIC SUBJECTS.
ROBERT PINK TO THOMAS LYDYAT.
[MS. Bodl. 313.]
Mr. Lydyat, — I cannot so well give you account of your
tractate which you have sent me, as if you yourself come over
hither to me. Which that you may do without your charge or
trouble, I have of purpose sent over this my servant Henry
Davis with a horse for you. He hath friends to visit some
few miles beyond you, which he may do and be back with you
at Alkerton upon Monday or Tuesday, as you shall appoint,
to attend you hither. A chamber and fire and diet you shall
have with me at New College, and the longer you please to
stay, the better welcome shall you be. Is this all, will you
say ? No ! but there is that more in it, which will, I am sure,
compell you to come over. And that is a great desire my
Lord Primate of Ireland hath to see you, and to joy your
company for awhile. I need not tell you, for you know him
better than I do, that he is a man of that esteem, as no man
now living, that I can hear of, is, for his exquisite knowledge
and solid judgment in (almost) all points of learning. You
cannot any way grace yourself more in the eye and opinion
of the University than to have it known that he loves you and
approves your learning. I, perceiving his good affection to
you, told him of your " Apparatus ;" and at his earnest re-
quest, delivered him a good part of it, viz. all from the 88th
page to the end, to read over : the former part he told me he
had read over long since; his meaning was, I thought, in
English. Dr. Bainbridge was then in company with us, and
therefore I mentioned your Mesolabe to His Grace, and Dr.
Bainbridge his non satis Geometrice, telling them both that
I looked to having defects punctually discovered, and not so
in the general. And my Lord, if any man will be able to
press him to that, and disclose either your mistake, or (which
I rather believe) his. So not doubting but that you will have
that respect to His Grace's loving expressions of the desire
he hath to see you here, as to come over to him, and make me
your host while you please, I heartily wish you a speedy and
safe journey hither, so remaining always
Your assured loving friend,
ROBERT PINK.
New College, Oxon.
November 13th, 1641.
76 LETTERS ON SCIENTIFIC SUBJECTS.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 168. Grig.]
Hamburg, January 10, 1644.
Worthie Sir, — It is so longe since I hearde from you that
I doute my letters which I last writ to you, came not to your
handes. I sent you inclosed in one of them the answeare
which I receaved from Auspurge concerning Reyeta's glass,
and allso my desire that you would be pleased to enquire of
Reyeta, who I heare is at Antwerp, of what conditions one
of his glasses may be had. I suppose some merchant of your
acquaintance will doe so much for your sake. I have latelie
had some discourse with Doctor Jungius and Mr. Tassius ;
douteless they are both verie learned men. I was at Doctor
Jungius his house, where he shewed me manie treatises of his
owne in manuscript, videlicet, DeLocisPlanis, DeMotuLocali,
staticks, hydrostaticks, and some observations of insects. I
have as greate an opinion of his abilities as of anie mans. I
finde he is not yet minded to print anie thinge, but I hope
hereafter he will, and I despaire not in the meane time but
he will imparte somewhat to me. I asked Mr. Tassius (as
you desired me) his opinion of your refutation of the Dane,
who aproves of it, and that you doe it without helpe of the
Table of Tangents. I writ in some of my last letters to
knowe if Cavalieros worckes and Sethus Calvisius of musick
were to be had. Sir, I have no more at this time, but wissh-
ing you all happiness remaine
Your assured friend to serve you,
CHARLES CAVENDYSSHE.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 175. Orig.]
Hamburg, January |*-L, 1644,
Worthie Sir, — I give you manie thankes for your letter of
the £$ of this month. I am glad to heare you meane not to
trouble your self with Longomon. more than as an appendix
to some of your intended worckes, which I confess I longe
much to see, whatsoever it be, especiallie if it be of analytycks.
I give you also manie thankes for your inquirie of Reieta, and
hope shortelie to heare from you whether there be anie hopes
to procure one of his best glasses. I am glad he will print
LETTERS ON SCIENTIFIC SUBJECTS. 77
somewhat howe to make them. Who that is that makes those
excellent glasses in England, I know not. I should have
guessed him to have bin Hammilton, who was generall of
the artillerie to Leslei, but you write him Haman, whom I
have not heard of, but I hope heereafter wee may procure one
of them. I am sorie Calvusius cannot be had, I shall not
yet trouble you for the other, but returne you manie thankes
for your inquirie of them. I am now growne into some
aquaintance with Doctor Jungius, who is pleased to visit me
commonlie twice a weeke, and to irnparte to me some of his
conceptions de motu locali ; wee are yet but in the definitions,
which are verie well expressed ; he hath allso imparted to me
divers theorems on the same subject, but not demonstrated
them, but I doute not but he can and will, after he hath laied
foundation enough in definitions and axiomes to builde upon.
I am sorie 1 lost so much time before I was aquainted with
him, but I shall endevoure to redeeme it during my staie
heere. And so hoping to heare shortelie from you, and wissh-
ing you all happiness, I rest
Your assured friend to serve you,
CHARLES CAVENDYSSHE.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 177, Orig.]
Antwerp, March 26, olde style.
Worthie Sir, — Not to trouble you with more particulares
of oure journei than that at Rotterdam Sir William Boswell
came to us, whom I found to be that which I supposed him
formerlie to be, a discreete, civill gentleman. I perceive he
thinkes Monsieur de Cartes his last booke to be full of fancie,
though he esteemes much of him. Heere I mett with Sir
Kenelm Digbie's booke, but had no time to reade it all ; but
it apeares to me to have some things in it extraordinarie.
Wee met heere with the famous Cappuchin Rieta, his booke
is nowe in the press heere allmost finished. Hee solves the
aparences of the planetes by excentricks, without aequants or
epicicles, and yet not according to Copernicus system of the
worlde. He teaches allso in this booke the making of his
newe tellescope ; his tube for his best glass was spoiled so that
wee could not see it, but wee sawe another made by his di-
rections, but had not the oportunitie of looking at a conve-
nient object far distant, but as I guess it is not better than
LETTERS ON SCIENTIFIC SUBJECTS.
myne, it represents objects even. I had not discourse enough
with him alone to aske him manie quaeres, but douteless he
is an excellent man and verie courteous, and I found him free
and open in his discourse to me. He saies he can easilie and
infalliblie finde the longitude, but he discovers not that in
this booke. He saies the satellites of Jupiter are little sunns,
and divers other novelties he hath observed, manie of which
he will not discover in this booke. I have no more nowe to
trouble you with, but to desire that you will thinke of pub-
lishing some of your rarities, especiallie in the analitickes.
And so wisshing you all happiness, I remaine
Your assured friend and servant,
CHARLES CAVENDYSSHE.
Wee are nowe going towardes Bruxells.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 149, Orig.]
Hamburg, Julie 26, 1644.
Worthie Sir, — I give you manie thankes for your letter,
which I received yesterdaie, and since things goe not so well
in England, I am glad you are so well placed for the present,
for I suppose it a place of good means as well as of honor ;
yet I hope by the grace of God wee shall one daie meet in
England, and live more happilie there than ever wee did. I
thinke wee shall remaine a whyle in this towne, and so be
deprived of the happiness of your conversation but by letter,
which I desire you will be pleased sometimes to afford me at
your best leasure. I desire you will doe me the favoure to/"\
send me one of De Cartes his new bookes, De Principiis Phi- ^
losophi&y without anie addition of his olde worckes, except he""
hath either added or altered something in the matter ; I de-
sire you will let me knowe the price of it, and howe I maye
with most convenience returne monie to you, for I am likelie
to trouble you for more bookes. I praye you let me knowe
whether Mr. Warner's Analogicks be printed. I hope you
proceed in your intended worcke of Analiticks, which if you
doe not, I beseech you doe, and finish it with all convenient
speed; for I confess I expect not anie absolute worcke in that
kinde, but from yourself. I praye let me knowe what new
inventions are extant in the mathematicks latelie, if anie.
And so wisshing you all happiness, I rest
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
LETTERS ON SCIENTIFIC SUBJECTS. 7$
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 151, Orig.]
Hamburg, Aug -fg, 1644.
Worthie Sir, — Douting that my letter of last week came
not to your handes, makes me no we trouble you with this.
I give you manie thankes for your letter, and am most glad
that you are well and in so good a condition ; I doute not
but you have hearde the occasion of oure comming over,, I
take no pleasure to write it, nor I suppose you to reade it ;
Gods will be done, and to that I humblie submit. I desire
you will be pleased to send me De Cartes De Principiis Philo-
sophies, and none of his olde bookes, except there be some
addition or alteration. I desire your opinion of the late dis-
coverie of newe stars ; I see Gassendus doutes of it. I desire
to knowe if Mr. Warner's Analogicks be printed, and if there
be any newe bookes of Analiticks, but I expect no greate
advancement of Analitickes but by yourself, therefore I be-
seech you proceede in your intended worcke. I am likelie
sometimes to trouble you for bookes, therefore I desire you
will let me knowe howe I maye returne monie to you. I
longe to see you. In the meantime I hope to converse by let-
ters. I remaine
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
JOHN PELL TO SIR CHARLES CAVENDISH.
[MS. Birch, Brit. Mus. 4280, fol. 101.]
Amsterdam, August 7, 1644.
Right Honourable, — Nine days agoe was your answere to
mine left at my lodging by a man that would have nothing
for postage. Had I scene him, perhaps I might have learned
some conveniency of sending backe to you againe, so that my
letters might be lesse chargeable than if they come thus single
to you by the ordinary poste.
I had sent you J3es Cartes his new booke forthwith, if
your letter had given me direction how to convey it to you ;
which, seeing you have not done, I resolve to send it to Ham-
burg by the next ship, to be left for you either at Berthold
OfFermans, a booksellers ; or else, at some other friends house
which I shall signify by letter. Though the title-page of the
80 LETTERS ON SCIENTIFIC SUBJECTS.
other part tell us that it is ab auctore perlecta variisque in locis
emendata, yet I have given orders to leave it out, and to binde
his Principia Philosophice apart for you ; whereby halfe the
price is abated. I suppose I shall have it to-morrowe, and
then I shall soone finde some ship to send it by : for such
opportunittes betweene this towne and Hamburg are very fre-
quent.
Des Cartes himself is gone into France. Monsieur Hardy
tells us, in a letter lately written, that Des Cartes met him
in Paris, and blamed him for offering so much mony to our
Arabicke professor at Utrecht, for his Arabicke manuscript
of Apollonius. Which Mr. Hardy interprets as a signe of envy
in Des Cartes, as being unwilling that we should esteeme the
ancients, or admire any man but himselfe for the doctrine of
lignes courbes.
But I think France alone will afford me argument for a
large letter, and therefore I leave it till the next time.
Come we therefore to England. And first for Mr. War-
ner's Analogickes, of which you desire to know whether they
be printed. You remember that his papers were given to his
kinsman, a merchant in London, who sent his partner to bury
the old man : himselfe being hindred by a politicke gout,
which made him keepe out of their sight that urged him to
contribute to the parliament's assistance, from which he was
exceedingly averse. So he was looked upon as one that ab-
sented himselfe out of malignancy, and his partner managed
the whole trade. Since my comming over, the English mer-
chants heere tell me that both he and his partner are broken,
and now they both keepe out of sight, not as malignants, but
as bankrupts. But this you may better inquire among our
Hamburg merchants. In the meane time I am not a little
afraid that all Mr. Warner's papers, and no small share of
my labours therein, are seazed upon, and most unmathe-
matically divided between the sequestrators and creditors,
who (being not able to ballance the account where there ap-
peare so many numbers, and much troubled at the sight of
so many crosses and circles in the superstitious Algebra and
that blacke art of Geometry) will, no doubt, determine once
in their lives to become figure- casters, and so vote them all
to be throwen into the fire, if some good body doe not re-
prieve them for pye-bottoms, for which purposes you know
analogicall numbers are incomparably apt, if they be accu-
rately calculated.
I cannot tell you much better ne\vs of my analyticall spe-
culations, of the finishing of which you desire to heare. I
came over hither in December last, not bringing any of my
LETTERS ON SCIENTIFIC SUBJECTS. 81
bookes or papers with me : nor hardly clothes, for the worst
I had seemed good enough to weare o' shipboard. I then
thought not to stay heere above a fortnight ; nor did I imagine
that before I gat out of this towne againe, I should be per-
suaded to clime the cathedra, and make inaugurate orations
and prolusions, and afterward reade publikely 5 dayes in a
weeke, an houre every day in Latine. Which had I foreseene,
I thinke that all the bookes and papers that I had, both
yours and mine, should have come along with me to enable
me to doe those things the more easily. And yet I have no
great minde to goe fetch them, nor to send for them ; so long
as they are there unstirred, they seeme to be safe. But the
disasters of the whole kingdome put me in minde of what
Melancthon used so often to say, non est tutum quieta moyere.
What may happen to them in the remoovall, by searchers,
pirats, &c., I am not willing to try. Yet so long as they are
there we cannot count them out of danger. But should that
befall Mr. Warner's papers and mine which we feare, it would
put me into an humour quite contrary to that in which I have
hitherto beene. I Jiave thought nothing elaborate enough to
be printed, till it were so complete that no man could better
it, and did therefore so long keepe my name out of the presse :
but now I begin to count nothing safe enough till it be
printed, and therefore I have almost resolved to secure my
thoughts, not by burying my papers in England, nor by
fetching them hither, but by publishing the same notions
heere that I have committed to paper there.
I had thought heere to have given you account of what I
have now in hand ; but being desirous by this poste to let
you know that your letter came safe to my hands, I am con-
strained to breake off heere, deferring the rest till my next.
In the meane time I remaine, Sir,
Your humble servant,
JOHN PELL.
SIR WILLIAM PETTY TO JOHN PELL.
[MS. Birch, Brit. Mus. 4279, fol. 173, Orig.]
Leyden, August 14, 1644.
Sir. — On Sunday noone I received youre lettre of Friday,
together with nine copies of youre refutation of Longomon-
tanus, the whicHe, according to your desire, I have distributed
as followeth, viz : to Golius, who, upon perusall of it, said it
was a most solid refutation, thanking you very much that you
82 LETTERS ON SCIENTIFIC SUBJECTS.
remembred him with a copie, and said withall, that hee at his
last beeing at Amsterdam much endeavored to have wayted
on you there. But he told mee that it is well thirty yeares
since Longomontanus his doctrine first saw light, since which
tyme hee hath by many letters beerie advertised of his error,
but being strangely enamoured of his invention, could not bee
made to retract it ; and hee hath growne extreme old in his
dotage thereon, " wherefore/' said Gojius, "t'were scarce re-
ligion to trouble the obstinat old man any more, since other
thoughts would better become his yeares than the mathema-
ticks." I then went to Salmatius, professor honorarius, who
likewise shewed many tokens of his kind acceptance, and told
mee (among other discourse, whereof I had much with him)
that the age of the author of this false opinion would sett an
authority on it, and therefore it had the more need of refuta-
tion. Walaeus thankes you very much, expressing no faint
desiresToliave the honor (as hee said) of youre acquaintance.
I have presented one to Mons1'. de Laet but this morning, for
at a many other tymes that I had formerly been to wayte on
him, I was not so happy as to find him. Van Schooten also
thanckes you, but hee being very old and indispose3~I had
not much talke with him as I had with the others. To Dr.
Kyper, being a man reasonably vers'd in those studies, and
not of low esteeme here, I presented one ; I have given 2
to Toncher Hooghland, a chymist and physician, Des Cartes
his most intimate freiiid and correspondent, who hath pro-
mised at his next writing to send one to Des Cartes. And
so, having retayned only one to show my friends up and
downe where I goe, I hope they are all disposed of to your
mind. If you please to send twelve more I can dispose
them to some other professors; 3 or 4 I would send for
England to Mr. Oughtred, Mr. Barlow, and others, if you
doe not youreselfe. I judge, by the leaves, that these coppies
are part of some booke which you will shortly blesse the
world with, and hope that my expectation shall not bee in
vaine. Now, sir, I must thanke you for the honoure you
have done mee by using mee as an instrument in this youre
busines; truly I doe so well like the employment, and so
ressent this your favoure, that I confesse myselfe obliged to
bee,
Youre most affectionate friend and humble servant,
W. PETTY.
PS. — There are some in whom (as in him qui ex pede
Herculem, &c.) this your magnum opusculum hath begotten
such an opinion of your meritt that they resolve to live at
Amsterdam to receyve your instructions.
LETTERS ON SCIENTIFIC SUBJECTS. 83
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 153, Orig.]
Hamburg, Aug. £f , 1644.
Worthie Sir,— Yesterday e I received yours of the |-§ of
August, for the which I give you manie thankes. I heare
nothing yet of our removing from hence, if we should remove
into Hollande I should be in hope to see you, and intended
to see De Cartes, but you write he is gone to Paris. I desire
your judgment of De Cartes his new booke. Doutelesse he
is an excellent man. I hope Mr. Hobbes and he will be ac-
quainted, and by that meanes highlie esteeme one of another.
I am sorie Mr. Warner's analogicks are not printed, but I yet
hope they maye, as also other worckes of that excellent olde
man. I am glad you intend to secure your thoughts by pub-
lishing them, and that you are printing Diophantus with
newe illustrations after your manner, which I am exceeding
greedie to see, but I doute you will not in this worcke teache
us the whole science of analiticks with all that pertaines to
it, which if you doe not nowe, I beseech you doe heereafter,
for I suppose you intended such a woorck, and if you finish
it not, I doute wee shall have no better analiticks than wee
have. I have not yet received your refutation of C. S. Longo-
montanus his quadrature of a circle, but I shall inquire dilli-
gentlie for it, for I longe to see where he goes out of the waye.
I am well acquainted with Mr. Gascoine, whoe was providore
to oure armie : he is an ingenious man and hath shewed me
howe perspectives maye be much improved; I onelie mislike
his glass next the eye which he makes convex on both sides ;
I tolde him it woulde make confused sight, if De Cartes his
doctrine be true, but upon triall it proved more distinct than
I expected, yet I thinke a concave on that side next the eye
would doe better ; his perspective did not multiplie more than
myne as I thinke, but his speculation is most true, and this
was one of his first trialls and not made to the manner of his
best inventions. Wee lodge neere St. John's Church. And
so wisshing you all happiness, I remaine
Your assured freind to serve you,
CHARLES CAVENDYSSHE.
G 2
84 LETTERS ON SCIENTIFIC SUBJECTS.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 155, Orig.]
Worthie Sir, — Manie thankes for yours of the T77 of Sep-
tember. I am sorie for Beaugrand and Herrisons deathes,
but I hope it will make you nowe seriouslie thinke of pol-
lishing and publishing your former thoughts of analiticks. I
never sawe Harrison's 6th tome, nor I thinke his 5th, yet
somewhat of algebra in those tomes I have, but nothing newe
as I remember, or verie little. From Robervall and Fermat
I expect much. Nicerons perspective I thinke I have at Lon-
don, and as I remember one hath manifestlie convinced his
booke of error ; but if I mistake, and that you aprove of Ni-
cerons perspective, I desire you will send it me. If there be
anie more than is in that little booke allreadie extant, con-
cerning the newe jomales, you shall doe me a favoure to send
it me. I am extreamelie taken with Des Cartes his newe
booke, yet I thinke Kercher the Jesuit of the loaldestone
hath prevented Des Cartes, for they differ little as I remem-
ber ; I confess I conceive not howe the particulse striatae by
theyr motion can reduce a loadestone, or touched needle (for-
merly moved from theire meridian), to their meridian againe ;
or if they doe, the situation of the poles would be contrarie to
Des Cartes his description. I beleeve Mr. Hobbes will not
like so much of Des Cartes newe booke as is the same with
his metaphisickes, but most of the rest I thinke he will.
Doctor Jungius hath bin once with me, I like him extreamelie
well, but I cannot speake Latin well nor readilie, which hin-
dered me of divers quaeres, and besides I would not trouble
him too much at the first visit. I finde him verie free, and
intend, God willing, to be better acquainted with him. He
approves of your confutation of Longomontanus, though he
seemed to thinke Long, would take exceptions that you use
tangents, which he refuses to be tried by. If Gassendes Phi-
losophic be extant I praye you send it me. I have not yet
seen Mr. Tassius, but he sends me word he will come to me.
They are commonlie full of business or els I would often visit
them. I mervaile you have not received £5, which I paied
to Mr. John D'Orvill longe since, who promised to doe it
with all convenient expedition ; but I hope you have received
it before nowe. I have troubled you enough for once.
I remaine your assured friend to serve you,
CHARLES CAVENDYSSHE.
Doctor Jungius preferrs the analiticks of the ancients be-
LETTERS OX SCIENTIFIC SUBJECTS. 85
fore Vietaes by letters, which he sales is more subject to
errors or mistakes,, though more facile and quick of dispatch,
but I conceive not yet whye.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 157, Orig.]
Hamburg, Oct. £#, 1644.
Worthie Sir, — Manie thankes for yours of October T2^. I
conceive there might easilie be a mistake in the waie of re-
turning that £5 to you, but I am glad you nowe have it.
What difference there is between banck dollers and rixdollers
I knowe not/but I intended you should receive to the value of
£5 sterling ; if it want anie considerable sum I praye let me
knowe it, for though the whole sum be not much considerable,
yet the cosenage is. I received yesterdaie a letter from
Mr. Hobbes, who had not seen De Cartes his newe booke
printed, but had reade some sheets of it in manuscript, and
seems to receive little satisfaction from it, and saies a friend
of his hath reade it through, and is of the same minde ; but
by their leaves I esteeme it an excellent booke, though I
thinke Monsieur Des Cartes is not infallible. Mersennus is
gone towardes Roome. Those bookes I desired might, I
suppose, have nowe bin in print, for Mersennus mentioning
them so manie months since, as worckes either printed or
readie for the press, made me upon that supposall desire them
if extant. Mr. Hobbes writes Gassendes his philosophic is
not yet printed, but that he hath reade it, and that it is as
big as Aristotle's philosophic, but much truer and excellent
Latin. Though you discommend Niceron for a vainglorious
man, yet your naming of his booke commended it to me, yet
not knowing certainelie whether I have it or not, and expect-
ing a second edition, for the present I desire it not. I desire
Gassendes his refutation of Des Cartes his Metaphisicks, printed
in 4to. ; and if there be anie other booke of philosophic or
mathematicks latelie printed, I desire it allso, especiallie your
Diophantus, if extant, or anie thinge els of yours. I desire you
will dispose of the remainder of that smalle sum I returned to
your owne use. Manie thankes for the copie of Reitas letter.
I admire his glass, and would gladlie buye such a glass, and
fet acquaintance with the frier and his workman by letter if
could.
Your assured friend to serve you,
CHARLES CAVENDYSSHE.
86 LETTERS ON SCIENTIFIC SUBJECTS.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 159, Orig.]
Hamburg, November y^p 1644.
Worthie Sir, — Manye thankes for your letter, wherein you
write that you have Apollonius 3 bookes of conicks in
Arabick, more than wee had in the Greeck, and 36 authors
more. I hope some of those are of the mathemathicks.
Howsoever I dout not but they are worthie the press. I like
extreamelie both the proposition and demonstration of Apol-
lonius in your letter ; and to my aprehension the expression
of the same proposition in Mersennus his book is perplexed
and no demonstration translated. I vvonder Goleas hath not
published it all this whyle ; yet being nowe in your handes,
I am not sorie he did not ; for I assure myself wee shall nowe
have it with more advantage than the loss of so much time.
Though I doute not but your explication of Diophantus will
put us in to a more sure waye of analiticks than formerlie, yet
I suppose there is so much to be added and explained
concerning analiticks that it will require a large volume,
and I hope you continue your intention of publishing such
a worke, which I beseech you thinke seriouslie of to publish
with all convenient speede ; for it is a worcke worthie of
you. I have sent to inquire at Auspurge of the famouse
Reieta, to procure me one of his best sorte of glasses,
but I have yet no answeare. If your occasions will permit
you, I shall take it as a favoure if you will visite my Lord
Widdrington, nowe in his passage towardes France. And so
wisshing you all happiness I remaine
Your assured friend to serve you,
CHARLES CAVENDYSSHE.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 161, Orig.]
Hamburg, December | g? 1644.
Worthie Sir, — Manie thankes for your letter and Gassendes
his booke, which I received by Sir William Carnabye. I am
of your opinion that Gassandes and De Cartes are of different
dispositions, and I perceive Mr. Hobbes joines with Gas-
sendes in his dislike of De Cartes his writings, for he utterlie
mislikes De Cartes his last newe booke of philosophic, which
LETTERS ON SCIENTIFIC SUBJECTS. 87
by his leave I highlie esteem of. I am sorie the peevish Dane
Severin diverts you from your better studies, for to my
aprehension your refutation is full and plaine, and the pro-
position you builde on so obvious, that I thinke I could demon-
strate it in ^ of an hour. I have not yet received answeare
from Auspurge concerning Reita's glass, but I perceive Mr.
Hobbes esteemes neither of his glass nor beleevs his dis-
coveries, for he is joined in a greate friendship with Gassendes.
I writ to him Gassendes might be deceived as he was about
the varieing of the perpendiculars ; he excuses him what he
can. Mr. Tassius is sick, but I perceive hee is verie courteous .
I have not latelie seen Doctor Jungius, but I have a greate
opinion of his abilities. I desire to knowe if all Bonaventura
Cavallieros worckes be to be had, as allso Sethus Calvisius
worckes of musick, for I sawe heere but some fragments
which Mr. Tassius lent me. You will excuse me that I
requite not your favoures for the present, as I desire I can
onelie yet acknowledge them, but shall heereafter by the
grace of God endevoure to requite them to my power. And
so wisshing you all happiness I remaine
Your assured friend to serve you,
CHARLES CAVENDYSSHE.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 163, Orig.j
Hamburg, December ^y> 1644,
Worthie Sir, — I hope you have received my letter which I
sent last weeke by my brother's servant. I have little to
adde, but this inclosed concerning Reieta's glass. I desire
you will be pleased to inquire if he be at Antwerp, and if he
be, to inquire of him if one of those glasses maye be had both
sooner and at an easier rate. I desire by your next to knowe
if Bonaventura Cavelliero and Sethus Calvisius of musick be
to be had. I hope you have done with the waiewarde Dane,
that you maye returne to Apollonius and Diophantes, but
especiallie to your owne analiticall worcke, which I ex-
treamelie desire to see. Mr. Hobbes puts me in hope of his
philosophic which he writes he is nowe putting in order, but
I feare that will take a longe time. I confess I regret much
from him and yourself; Mr. Doctor Jungius and Mr.De Cartes
I hope hath not yet done. I expect allso some rarities in
88 LETTERS ON SCIENTIFIC SUBJECTS.
analiticks and geometric from Fermat and Robervall, so that
I hope oure age will be famous in that kinde. And so wissh-
ing you all happiness I remaine
Your assured friend to serve you,
CHARLES CAVENDYSSHE.
SIR CHARLES CAVENDISH TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 170, Orig.]
Paris, June 27, olde style, 1645.
Worthie Sir, — I give you manie thankes for your letter of
May T9^, which I received not longe since. I writ to you a
letter from hence a greate whyle since, in which was one
inclosed to Doctor Jungius, and a proposition demonstrated
by Mr. Hobbes, all which I hope you have received. I have
as you desire procured not onelie the approbation but demon-
stration of your fundamentall proposition by Mr. Hobbes his
meanes. Fermat is not in this towne, and Mersennus is on
his waye hither, so that I knowe not whither to write to him.
But I doute not but more handes with demonstrations
might be procured if you desire it ; I heare some of them
wonder you would not publish a demonstration of it your-
self. I tolde Mr. Hobbes I assured myself you coulde
demonstrate it, and thought it more obvious than I perceive
they thincke it. I am glad you are publishing of Appolonius
and Diophantus, though if Goleas meane to publish his
Appolonius, I could be content you forbore yours, his being
the perfecter copie, and he having bin at some cost about it,
though I doute we shall be loosers by it, for I beleeve your
notes w*ould abundantlie recompence the defect of your
coppie. ; I have not yet seen Bullialdes Astronomic, but
Mr. Hobbes thinckes he hath not much advanced oure knowre-
ledge. Mydorgius hath publisshed nothing of late, nor anie
of the rest more that I heare of. I hope you proceed with
your analytickes, and that er longe you will publish it, for I
expect not so much from anie man in that kinde as from your-
self. I suppose you will one daye advance allso the doctrine
of conickes and of other difficulties in geometrie. I knowe
not when wee remove, nor wdiither; but when and where-
soever I remaine
Your assured friend to serve you,
CHARLES CAVENDYSSHE,
LETTERS ON SCIENTIFIC SUBJECTS. S9
JOHN PELL TO JOHN LEAKE.
[MS. Birch, 4280, fol. 94. Original draft.]
Amsterdam, August 7th, 1645.
Mr. Leake, — It is a yeare agoe since these inclosed papears
were printed, and then upon this occasion. I found a booke
of Longomontanus of 9 or 10 sheetes De Mensura Circuli,
printed heere at Amsterdam since I came hither, but without
my knowledge. I therefore thought good to give notice that
it was done without my approbation, as knowing the measure
to be false, as also to show a new way of refuting all those
that make the circle's area and periphery too great. And
such another way have I of refuting all those that make the
circle's area and periphery too little, if there be any such, for
I doe not remember one example amongst all the foolish
cyclometers that ever I saw. He that printed Longomon-
tanus his booke, printed also my refutation, and that they
might allwayes be joined, he added those numbers 73, 74 ;
for Longomontanus ends in 72. I caused these my papers
to be dispersed among the mathematicians all over Europe.
I hoped that of those which I sent so long since to London,
one might have come to your hands, but I perceived yesterday
by Mr. Sugar that you had not heard of it. I sent also one
to Longomontanus, who answered ignorantly and scurvily ;
and upon occasion of a letter written by me to a friend in
Denmarke, he has lately published a second reply not
altogether so monstrous as the former. Mr. Sadler hath a
coppy of his first reply and of the Paris professor's judgement
of my refutation. I have received other mathematicians'
verdicts, onely I have as yet none out of England. My intent
is to appeale the judgements of all those that by demonstrating
(2r^t \
— — — = d j can shew them-
selves able to judge of such a controversy. Therefore by your
meanes I shall hope to obtaine a line or two subscribed by your
Gresham professors, and as many other students as will take
the paines to demonstrate the first theoreme. Such I take
to be Mr. Gunton, Mr. Fiske, Mr. Leake, Mr. Bond, and
some others better knowen to you than to me; which appro-
bation and demonstrations I desire to have as soone as may
be, because I would print them with my owne and those
which I have allready of other men's, that so those ignorant
dames may be so much the more confounded to set a thing
demonstrated so severall wayes, which Longomontanus sayd
90 LETTERS ON SCIENTIFIC SUBJECTS.
was indemonstrabile. And though now they begin to feare
that it may be demonstrated, yet all the mathematicians in
the University of Copenhagen cannot doe it, such shallow
artists have I to doe withall. If any of our London ma-
thematicians be unwilling or unable to write Latine, let them
write English, or the catholicke language [a, b, c, H &c.] 5
and let me alone with the rest. If you want more coppies
of my paper, and Mr. Hartlib of Duke's Place cannot furnish
you, I shall send you as many as you desire ; or if there be
anything else wherein I may serve you, you shall allwayes
find me
Your assured friend and servant,
JOHN PELL.
To his much esteemed freend, Mr. John
Leake, at his house by the Old Swan
in Thames Street e, London, these I
pray.
SIR WILLIAM PETTY TO JOHN PELL.
[MS. Birch, Brit. Mus. 4279, fol. 172, Orig.]
Paris, November 8th, 1645.
Sir, — Father Mersen his desire to convey this inclosed to
you, serves me for an happie occasion, to expresse my thank-
fulnes for the good of that acquaintance with Mr. Hobs, which
your letters procured me for by his meanes, My Lord of
Newcastle and your good friend Sir Charles Candish have
beene pleased to take notice of mee ; and by his meanes also
I became acquainted with Father Mersen, a man who seemes
to me not in any meane degree to esteeme you and your
works, and who wishes your studies may ever succeede
happily, hoping (as others also doe) that the world shall
receyve light and benefitt by them. Sir, I desire you not to
conceive that any neglect or forgetfulnes hath caused my long
silence, for the often speech I have of you either with Sir Charles,
Mr. Hobs, & Father Mersen (besides the courtesy I receyved
from you) makes me sufficiently to remember you. But, to
speake the truth, it was want of buisines worthy to make the
subject of a letter of 16P postage, especially since Mr. Hobbs
served you in procuring the demonstrations of other french
mathematicians. I could wish with Sir Charles that wee
could see your way of analyticks abroad, or if a systeme of
the whole art were too much to hope for, for my owne part
LETTERS ON SCIENTIFIC SUBJECTS. 91
I could wish wee had youre Diophantus which was ready for
the presse before my departure from you. Those rules of
algebra (though few) which you gave mee and exercise have
made mee able to doe many pretty questions. I entend to
reade no authour of that subject untill I may be so happie to
reade something of yours. Sir, if there bee anything wherein
I might serve you, I desire you to use
Your thankfull friend & humble servant,
WILLIAM PETTY.
HENRY POWER TO SIR THOMAS BROWNE.
[MS. Sloan. Brit. Mus. No. 3418, fol. 94.]
Hallifax, June 13th, 1646.
Right Worshipfull, — I could not overslippe those kind
respects, and faire expressions you pleased to shew towards
me in Mr. Smith's letter, without the returne of a few gratu-
latory lines. The presentment whereof I cannot count a
piece of presumption, since you layd me the foundation to
worke upon. I cannott but really thanke you for the com-
munication of your opinion ; I shall trace your directions, by
which meanes I question not but I shall attaine to the utmost
of my desires. My yeers in the University are whole up to a
midle bachelaur-shippe, which height of a graduate I am
sure ought to speake him indefective in any part of philo-
sophy. Our second yeere of sophistry is always taken up in
physicall contemplation (without perfect knowledge whereof
no cleere passage is granted to any in the commencement
house), and I hope no materiall piece then passed my eie, an
extract whereof is not remanent in my present selfe. Yet I
shall (submitting to your maturer judgment) review the
whole body of philosophy, especially naturall. The pleasant-
nesse of which science (had not your desires concurred) might
have re-invited me to that study. I intended to have scene
Cambridge a moneth since : but some intervening accidents
still quas'd my jorney: and now you know that supernaturall
cause which prolongs my stay here. I hope the heavynesse
of that hand will shortly be removed, and our colledge re-
pupill'd, and then (God willing) I will increase the number.
I shall waite there of your instructions : what physicall in-
stitutions you please to appoint, I question not but the
University affords ; and I shall be ready to make use of them,
and of each opportunity the weeke affords, wherin I may
92 LETTERS ON SCIENTIFIC SUBJECTS.
visit you by a paper-mercury. If (after I have finished the
theoreticall part of physick) you will be pleased to induct me
into some practicall knowledge, your commands shall fetch
me up any time to Norwich ; where I shall be very glad to
weare the livery of,
Sir, your obliged friend and servant,
HENRY POWER.
Our towne can furnish you with very small news, only the
death of some of your acquaintance, viz. Mr. Waterhouse and
Mr. Sam. Mitchell. This enclosed is from my father-in-law
to your selfe : if your occasions will permitt the returne of
a few lines to either of us by this bearer, wee shall be very
glad to accept them.
HENRY POWER TO SIR THOMAS BROWNE.
[MS. Sloan. Brit. Mus. 3418, fol. 92.]
Right Worshipfull, — The subject of my last letter being so
high and noble a piece of chymistry, viz. the reindividualling
of an incinerated plant, invites mee once more to request an
experimentall of it from yourselfe, and I hope you
will not chide my importunity in this petition, or be angry at
my so frequent knockings at youre doore to obtaine a grant of
so great and admirable a mystery. 'Tis not only an ocular
demonstration of our resurrection, but a notable illustration
of that psychopanuchy which antiquity so generally received,
how these formes of ours may be lulled and ly asleepe after
the separation (closed up in their Ubis by a surer than
Hermes his scale,) untill that great and generall day when
by the helpe of that gentle heat, which in six dayes hatched
the world, by a higher chymistry it shall be resuscitated into
its former selfe ; suamque arborem inversam in continue esse,
et operari, iterata praeservabit.
The secret is so noble and admirable, that it has envited
my enquirys into divers authors and chymicall tractates,
amongst which Quercita and Angelus Salae give some little
hint thereof, but so obscurely and imperfectly that I have no
more hopes to be ocularly convinced, through their prescrip-
tions, then to be experimentally confirmed, that the species of
an incinerated animal may be encaskM in a piece of winter
chrystall, as some other mineralists confidently affirme.
Alsted, I confesse, in his Pyrotechnia, more cleerely describes
the matter, but the manner of experimenting it hee utterly
LETTERS ON SCIENTIFIC SUBJECTS. 93
leaves unmentioned. Therefore my only addresse is to you,
hoping to find as much willingnesse to communicate, as ability
to evince the certainty of this secret to
The most engaged of your friends,
HENRY POWER.
R. Coll. Cambridge,
Feb. 10, 1647.
PS. — Sir, this enclosed is from a worthy friend of myne
who hath made bold upon my incitement to enwrappe a few
lines to you, if you please to repay us both but with one
single answer, it will not only evince us of your faire accept-
ance of them, but shall also challenge a double gratulatory
as a due debt, in counterpoise and recompence thereof.
WILLIAM OUGHTRED TO MR. GREATORIX.
[MS. Ashm. 394.]
Aldbury, Dec. 19th, 1652.
Good Mr. Greatorix, — Give leave to intreate you to re-
member my service to my good friend Mr. Lilly, and to
enquire of him and other astronomers about London, what
they have observed concerning a comet, stella crinita non
caudatci, now and for 1 1 nightes together as often as the skie
was cleere, in manner as I shall describe. Upon Thursday,
Dec: 9th, I first saw it, neere the East, about 7 of the clock
at night, a round dim light, about 4 degrees of estimacioun
from the head of the staire under the foote of Orion westward ;
the diameter of it seemed to be 16 inches; upon Saturday
at 11 at night it was ascended nere the shild of Orion,
almost as a right line through both the shoulders, so that the
comet and they were about an equall distance asunder;
then it went upward through the nose of the bull, till upon
Tuesday night it was close, but a very small deale westward
to the lowest star of the Pleiades. Upon Wednesday night
it wras come almost as high as the foote of Perseus, and upon
Thursday night it was scene above the wing of that foote of
Perseus westward higher then in a right line, through the
star in that foote and the wing, and almost at their distance.
The present Sunday, while I am writing, it is come within
lesse than a degree of Gorgon's eye, and \ a degree to the
east side. The motoun decresethe nightly, and so doth the
diameter, especially for these latter dayes, being now become
but in shew not past halfe so big as at the first appearance.
94 LETTERS ON SCIENTIFIC SUBJECTS.
You shall doe me a favour to write or procure to be written to
me what hath byne observed by the astronomers about this
celestiall appearance, and what judgement they give of it.
Your very loving friend,
WILLIAM OUGHTRED.
H. THORNDIKE TO JOHN PELL.
[MS. Birch, Brit. Mus. 4279, fol. 261.]
December 23rd, 1652.
Sir, — Mr. Tovey is gone out of towne and hath left mee
to dispose of Mr. Warner's papers, which I would have had
done himselfe. I have therefore sent you whatsoever I can
conceive to concerne the canon : beeing, (1) The canon itselfe
from 1 to 100,000. (2) A collection of papers sowed together,
concerning (I suppose) the construction and use of it, in-
titled on the front Tabularia. (3) Papers of Interest and the
questions of it, sowed together. (4) A peece by itselfe of
about halfe a quire, beginning with, " Any ratio being given."
(5) The canon from 1 to 10,000. (6) A foule copy of the
same, in which are bound up other loose papers concerning
the subject. (7) Foule papers in nine bundles, which seeme
to be the first copy of the large canon. And my request to
you is, first that you will take your own time to peruse them,
in order to a resolution of publishing them, which, upon
perusing them, I hope you will declare : and then in con-
sideration of common casualties, and the uncertainty of
my continuing where you are, that you will certify mee of
the receit of the particulares. Which will bee very briefly
done, if you think fit to sende mee this backe, with your
name subscribed to a line signifying the receite of them.
And here, Sir, my best love and service recommended, I take
leave, and remaine, Sir,
Your very loving freind to serve you,
H. THORNDIKE*.
* From a note by Pell, at the back of this letter, it appears that the project of
printing Warner's works was relinquished on account of the incompleteness of
his papers.
LETTERS ON SCIENTIFIC SUBJECTS. 95
LIST OF MR. WARNER'S PAPERS.
[MS. Birch, Brit. Mus. 4394, fol. 106.]
An inventorie of the papers of Mr. Warner.
1. A tract of exchanges in folio, containing eleven leaves,
Anglice.
2. Varronis sententia de tympanis illustrata, tribus foliis.
3. A treatise of coines.
4. Another of the same.
5. A tract about ingotts.
6. Another of the same.
7. Opus Saturninum.
8. A bundle containing thirty papers intituled " Opus
Joviale."
9. A small bundle intituled " Observationes Westmonas-
terienses."
10. A bundle intituled "Monetary/5
1 1 . A bundle intituled ee Generall rules of Warre and
Fortification observed by the experience of Prichard Han-
sard."
12. Six tracts sewed together intituled " Tabularia."
13. The faire copy of a canon of 100,000 logarithmes.
14. Canones analogici originalis.
15. Schedae miscellaneae.
16. A bundle intituled " Analogicks."
17. De monetarum homonimicarum aequivalentia.
18. De resectione spatii.
19. A treatise sic incipiens "Any ratio being given."
20. A treatise thus beginning " Of that columne."
21. A bundle " de refractione defmitiones."
22. A bundle intituled " Mr. Protheroe."
23. A bundle intituled " Sir William Beccher."
December 14th, 166?. Received the abovesaid papers
from Dr. Thorndyke, which I promise to restore upon de-
mand— JOHN COLLINS.
ANTHONY THOMPSON TO JOHN PELL.
[MS. Birch. Brit. Mus. 4279, fol. 259, Orig.]
November 22nd, 1658.
Mr. Pell, — There is this day a meeting to bee in the Moore
Feilds of some mathematicall freinds (as you know the
custome hath beene) there will bee Mr. Rook and Mr. Wrenn,
96 LETTERS ON SCIENTIFIC SUBJECTS.
my Lord Brunkerd, Sir Pauel Neale, Dr. Goddard, Dr.
Scarburow, &c. I had notice the last night of your being in
towne from some of the gentellmen now named; and of there
desire to injoy your company ; their will bee no such number
as you usually have scene at such meetinges ; 1 2 is the
number invited. Sir, I hope you will excuse the short
warning, for it was shorte to mee *.
Yours to serve you,
ANTHONY THOMPSON.
PELL'S RELATION OF A MEETING WITH
HOBBES.
[MS. Birch, Brit. Mus. 4425, fol. 204, Orig.]
Easter Munday, March 31, 1662.
This morning Mr. Thomas Hobbesf met me in the Strand,
and led me back to Salisbury house, where he brought me
into his chamber, and there shewed me his construction of
that Probleme, which he said he had solved, namely the
Doubling of a Cube. He then told me, that Vicount Brounker
* I insert this letter because it is a curious memorial of the Royal Society in
embryo. It is generally stated, that Dr. Goddard's society terminated on the
foundation of the one at Oxford, but this letter proves the contrary. As it may
be interesting to the present members of the Royal Society, I insert here a copy
of the original regulations of the Society at Oxford, from MS. No. 1810 in the
Ashmolean Museum : —
October 23rd, 1651, Order'd—
1 That no man be admitted but with the consent of the major part of the
company.
2. That the votes for admission (to the intent they may be free and without
prejudice) be given in secret ; affirmations by blanks, — negatives by printed
papers put into the box.
3. That every man's admission be concluded the next day after it is proposed ;
so as at the passing of it, there be at the least eleven present.
4. That every one pay for his admission an equal share to the money in stock,
and two-third parts of it for the instruments in stock, answerable to the number
of the company.
5. If any of the company (being resident in the University) do willingly absent
himself from the weekly meeting, without speciall occasion, by the space of six
weeks together, he shall be reputed to have left the company, his name from
thenceforth to be left out of the catalogue.
6. That if any man doe not duly upon the day appoynted performe such exer-
cise or bring in such experiment as shall be appoynted for that day, or in case of
necessity provide that the course be supplyed by another, he shall forfeit to the
use of the company for his default 2s. 6d., and shall performe his task notwith-
standing within such reasonable time as the company shall appoynt.
7. That one man's fault shall not (as formerly) be any excuse for him that was
to succeed the next day, but the course shall goe on.
8. That the time of meeting be every Thursday before two of the clock.
[fThis Mr. Hobbes says' he was born April 5, 1588.]
LETTERS ON SCIENTIFIC SUBJECTS. 97
was writing against him. " But/5 said he, f( I have written a
confirmation and illustration of my demonstration, and
to-morrow I intend to send it to the presse, that with the
next opportunity I may send printed coppies to transmarine
mathematicians, craving their censure of it. On this side of
the sea/5 said he, "I shall hope to have your approbation of
it." I answered that I was then busy, and could not per-
suade myself to pronounce of any such question before I had
very thoroughly considered it at leysure in my owne chamber.
Whereupon he gave me these two papers, bidding me take
as much time as I pleased. Well, said I, if your work
seeme true to mee, T shall not be afraid to tell the world so :
but if I find it false, you will be content that I tell you so ;
but privately, seeing you have onely thus privately desired
my opinion of it. " Yes," said he, " I shall be content, and
thanke you too. But, I pray you, do not dispute against
my construction, but shew me the fault of my demonstration,
if you finde any." Thus we then parted, I leaving him at
Salisbury house, and returning home.
THOMAS BRANCKER TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 36, Orig.]
Tottenham, May 9th, 1666.
Revered Sir, — I understand by Mr. Collins that you had
my last, but are, as you had reason, offended at Mr. Pittes
presumption. Little souls have little designs ; what his was,
I know not, but I thought it not at present convenient to do
any more than I did, viz : take notice that the letters were
opened and enquire by whom. However, I durst not con-
ceal it. The man is I hope very fair ; as to all other matters
wherein I have dealt with him I have found him so. Possibly
he was hasty to see what assistance you were pleased to
afford us. I am thus tedious about him, because I would
fain entreat for him to procure his pardon. What I wrote in
my last concerning the book, I again refer to your consider-
ation, for as much as my design herein I hope is not sordid
or mean ; but the truest advantage that may be gained to the
argument. I have now only to acquaint you that they have
in hand the table. They omitte the first leafe, according
what I hinted in my last to yourselfe about it. Only whereas
Rhonius ordered the incomposits to be printed in a larger
character when they first appear in the table, viz : where they
H
)l
98 LETTERS ON SCIENTIFIC SUBJECTS.
were roots ; I have altered it thus, to put a rule either over
or under the number, and let it be of the same body with the
rest. For I presume the end of that different character was
only to make it visible, and I conceive this makes it more
visible and distinct, and besides it avoides that unhandsome
intrenchment upon the page which you will find in the Dutch
edition. But these things you will better observe when the
first sheet comes to your hands, which I hope you will find
well done. They goe on slowly, because the short rules
between the descending parallels are very chargeable, and
therefore they have no more than will compose \ a sheet atk
once ; so that they do but one whole sheet in a fortnight.
I should be very glad to wait on you at London, could the~
health of that place invite you thither. In the mean time, I
beg your candid interpretation of anything that comes from
me in word or deed as to this matter, for as much as, if I know
my own inclination, of all vices I am not disposed to deceit
or impudence, and in this particular I have very cogent
obligations to the contrary. I had written sooner but that I
was confined to my chamber by an ague, which, by God's
goodnes, is now removed, not without some small relishes of
it, which I hope will passe away. It's scarce pertinent to
tell you that there was a report about town that you had left
this world for a better. Your own lines to Mr. Collins are a
solid refutation. God Almighty continue your health and
opportunityes to serve his glory, 'tis the prayer of, Sir,
Your ever obliged to honour and serve you,
THO: BBANCKEB.
THOMAS BRANCKER TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 38, Orig.]
Tottenham, June 2 1st, 1666.
Honoured Sir, — By the hands of Mr. Collins I received
your last on Friday, viz : 4 leaves of copy for the sheet P ;
but without any note for direction for printing therof, or by
way of answere to anything of my last. This I only advertise
you of that, if any such letter were intended, you may under-
stand it was casually excluded the covert. I humbly thank
you for the pains and accuracy in those papers, and I hope
further directions for printing them are not altogether neces-
sary. I have transcribed them without any alteration, unlesse
so far as was needfull to conform it to the marks wherein the
LETTERS ON SCIENTIFIC SUBJECTS. 99
presse differs from your writing. They will this day or to
morrow have done with the table (as I suppose) and will be
wholly imployed in the body of the book again as the med-
dling with the table. Although readers and printers are all
very willing to see it out ; yet, whenever you please, the presse
shall be perfectly stop't to attend you. I shall from time to
time acquaint you where they be, and when they want further
help, but no such addresses are intended to streighten you in
your conveniencyes. If you please to put a title to the table,
they may print that and the first leafe of the table, which I
shall presently fall on proving once more, unles you have any
body that can and will ease me and shew me the errata, which
I hope will not be very many. My last tedious letter gave
you an account of what I then thought necessary, nor have I
now any thing else to adde thereabout. I beg your pardon
for having been an occasion of so great a divertisement to
you, wherein if I did not fear I had allready intrenched on
your other occasions, I should have adventured to beg your
assistance for generall direction in these studyes, and I have
fancyed that 2 or 3 generall fundamentall notions would lend
me no small light, untill God shall please to grant me the
happinesse of further attendance on you. And I wish I might
be as meet for future as I am thankfull for past communica-
tions. In the mean time I must wait for an opportunity to
serve you to my power. I commit you to God's protection.
Yours ever obliged to honour and serve you,
THO: BRANCKEB.
THOMAS BRANCKER TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 40, Orig.]
Tottenham, July 6th, 1666.
Honoured Sir, — Your last of July 2 came to me July 5. I
return humble thanks for the sheet therein enclosed. I have
copyed it and purpose tomorrow morning to send to the press.
The labour and time which the processe and copyes therof
required must needs have been great, and much aggravates
your bounty in the communication. And I cannot but, upon
occasion herof, adventure to expresse what hath been much
in my thoughts before. I am very sensible what an occasion
of trouble to you this my imperfect undertaking hath proved.
Which yet I can not say I repent of, because I can not ques-
tion a considerable advantage to be reaped thereby by all in-
H 2
100 LETTERS ON SCIENTIFIC SUBJECTS.
telligent readers, and particularly because you have conde-
scended not only to permission but favourable assistance : for
which I dayly look on myselfe (as well as thousands others)
as obliged to all gratefull acknowledgement as far as my pre-
sent or future capacity may reach. My desire and serious
study shal be to serve your interest, as far as I may understand
it, and be accepted in my endeavours. I know the notions
you bestow upon the treatise are not valuable even by Jewells,
but yet I see nothing litle or sordid in it for you to accept of
some gratuity, although incomparably beneath the obligation
you have laid upon us. If I might be so bold my request
would be to have from you a hint of your thoughts concern-
ing it. 'Tis true Mr. Collins and I have discoursed hereabout,
but he is not nor shal be in the least acquainted with the open
proposall which my confidence of your pardon makes. Whe-
ther he hath in his letters anything that looks this way I know
not, but the full satisfaction I have of my own integrity to
endeavour your truest service puts me on the adventure. And
methinks it is much more respectfull to your goodnesse to be
open and sincere, than either to expresse myselfe tenderly
and obscurely, or, which is worse, to be altogether ignorant of
what behaviour may become us in this present case. My
bookseller I know will not be very unmannerly herin : and
I would deal with him as from my own motion did I know
what were proper, but he shall never know from me directly
or indirectly that I ever scribbled a syllable about the affair.
You need not fear any inconveniency in being free to me in
this matter even as to your son. I am not so great a stranger
to morality or conscience as to use such forward expressions,
had I not uprightnesse to support them. And, although I
may not despair of being an incomparable gainer by any
service I can undertake for you, yet I conceive I am not
herin selfish beyond what reverence and gratitude allow me.
But if any thing in the premises be any way peccant and
offensive, I submit to your correction and it shall be, if you
please, as if it were unwritten. As for the book, the com-
positor hath made your last papers fill a great deal of room,
something of the paper of March 5 running into R, which
loose print they ever told me their letters would needs require.
I have written out the primes to above 30000, in the first 10M
I find 1227 (counting 1 for a prime, which possibly Guld:
omitted, and so made 1226), in the 2d xM 3031, in the 3rd
xM 983, in the 30000, 3241. But my purpose is to prove
the whole table of incomposits again before I finish this ca-
talogue. Mr. Collins hath lent me Kinckhuysen's Conicks
(in Low Dutch) and Mydorgius, on which I spend some time
LETTERS ON SCIENTIFIC SUBJECTS. 101
about parabolicall draughts. If you please you may now
keep a week or more before the press, but I shall undertake
that it shall attend your leisure. I do not find I have order
in your last to proceed to the xxix. probl : and therefore hope
to see your directions. I fear you give yourselfe the trouble
to copy verbatim what you send me. I conceiv you might
adventure to send me your only accurate draughts, and ease
yourselfe of that labour, keeping the notions by you possibly
in some other method. Begging your pardon and continu-
ance of undeserved favours, I commit you to God's care and
protection.
Yours ever to honour and serve you,
;T»Ho: BBANCKER.
CHRISTOPHER SAWTELL TO WILLIAM LILLY.
[MS. Ashm. Oxon. 423, Orig.]
Waymouth, August 6th, 1666.
Mr. Lilly, — I wrote to you the 18th of the former month
concerning the wonderfull motion of the tide as it was care-
fully here observed for 4 hours time, viz. July l?th, from
about 10 in the morning untill 2 in the afternoone. I also
wrote the same to the Post-office in London ; notwithstand-
ing which, it was put into the printed intelligence in one
manner, and in the Gazette in another manner, and neyther
of them aneere the truth, and for what eyther reason or po-
licie I cannot imagine, but made me to be derided here, until
I shewed a coppy to many of what I wrote them to London ;
since which they reply if they print one false that is so won-
derfull, how many us believe the rest, &c. Sir, I intreated
you by my letter to have given me a few lines in answer that
you had received mine, but to this morning I have not re-
ceived any, which makes me doubt that you have not received
mine, or else that you doubted the truth, or that it was not
of any worth. If it came not to your hand, pray be pleased
by a few lines to give me notice and I shall give you (if you
desire it) a very true, sure, and punctuall account of it, or in
any particular thing or accident that you shall require of it.
If you doubted the truth I'll assure you that to what I wrote
you ther is not a title false, I am very confident, viz. that the
sea did ebb and flow seven times in four hours time ; with
the rest of particulars writen you, to which a clowde, as it
were, of witnesses will appeare ; that there were many more
102 LETTERS ON SCIENTIFIC SUBJECTS.
ebbings and flowings it is probable to be true by the report
of many ; which say that the sea did soe all the morning, and
that it did soe likewise againe in the evening, but they say
that this was not so violent ; but this 4 houres time that I
gave you account off was as I have said, carefully observed
by so many and that of the chiefest mariners, merchants, and
other gentlemen, as well as other sorts of people, both men
and weomen, one friend calling and sending for another, that
to me it seemes an absurdity in the least to doubt the truth ;
the chiefe occation of observation being the extreame violence
of it, one wherof I heard being in house, being talking with
one, we had much pitty for a ketch there riding in the road,
we thinking of a very great and suddent storme of wind, but
Id.ckiu.g out,of ;dgares -found noe wind att alle, but saw the sea
at a distance full of ravelling waves with much noyes. If not
0,^ svori;K to.ygii, jiray take the will for the deed. I aymed at
the 'best. ' The tiling to all persons of this town was and still
is wonderfull, and I thought it worthy of publique note, to
which end I sent it to London preferring you before Mr.
Gadbury, who otherwise had had the account. However,
Sir, if you will not afford me no other account of it, you let
me begg you to give me a few lines that you have received
mine, that I may know that it came to your hand ; and if by
writing so presumptuously to you, strangers to each other, I
have offended you, pray pardon me ; it is but the second of-
fence ; I hope I then shall not committ the third : yet in the
meane while shall remaine, Sir,
Your friend in what I may,
CHRISTOPHER SAWTELL.
For Mr. William Lilly, Astrologer, at the
corner-house, over against Strand-bridge,
these, in London. Post paid, 3d.
THOMAS BRANCKER TO JOHN PELL.
[MS. Birch, Brit. Mus. 4278, fol. 41, Orig.]
Tottenham, August 17th, 1666.
Much honoured Sir, — I conceived it unnecessary to trouble
you with any line from me since the reciept of your last sheet,
untill I could return it or part of it in print. This is now
done, and you may please to send to Badiley for a sheet which
I presume my bookseller will send on Munday. In it the
fractions are very much amended. Mr. Collins tells me that
LETTERS ON SCIENTIFIC SUBJECTS. 103
now they say if I had blamed them, they might have been
corrected before. But as I have formerly written, I found
fault at the first fraction that ever they printed and afterwards
too. I conceiv they were not then so possessed with suffi-
cient hopes of advantage so as to put them on the charge of
new stamps, the procuring of which hath made this delay. I
am now most taken up with making a catalogue of the errata
in the table of incomp. which is necessary to be done before
~~the catalogue of the incomposits themselves can be truly
made. Sir, I return you my humble thanks for your candid
acceptance of any part of my behaviour towards you in this
businesse, of which my Lord Brereton hath been pleased to
give me an hint. May there be anything of another nature,
I shall thankfully accept of your admonitions, and, in a word,
truly serve all your interest. We now hope for further di-
rections from you at your next conveniency. At present you
are no further interrupted by
Yours, ever obliged to honour and serve you,
THO: BBANCKER.
JOHN PELL TO MOSES PIT.
[MS. Birch, 4279, fol. 183, Original draft.]
Brereton, June 3rd, 1668.
Sir, — Yours of May 28 came to my hands May 30. Mun-
day June 1, I sent a messenger to Newcastle, who brought
me from you Mr. Brancker's new book, more costly bound
than I desired. I have turned it over, and finde it no way
imperfect ; no sheet deficient, missfolded or missplaced. But
the great number of press faults keepes me from writing to
you for coppies for my friends, because I suppose they had
rather tarry till they may have coppies corrected by my hand
throughout.
Your superscription, both of your letter and of the book,
would have startled me, if I had been farr from this place.
For in both you say John Lord Brereton, as if William Lord
Brereton were dead and the title were fallen to his eldest
sonne, whose name is John. But since yours, we have heere
received letters from the father, by which we are assured that
he is in health, and intends to begin his journey hitherward
upon Friday June 5, about the time that this may come to
your hands. I hope his Lordship will bring one of Deane
Wilkins his bookes with him ; or at least will be able to de-
104 LETTERS ON SCIENTIFIC SUBJECTS.
scribe it so to me, that I may guess of what bulk it is, and
whether it be fit to binde blank leaves in part of it. And
therefore I doe not now call for the coppy which you say the
Deane hath left in sheets in your hands for me. Your care
will preserve it entire, cleane and safe for
Your assured freind,
JOHN PELL.
For Mr. Moses Pit, a stationer at the
White Hart in Little Britaine.
HENRY OLDENBURGH TO LORD BRERETON.
[MS. Birch, 4280, fol. 42, Orig.]
London, Sept. 22nd, 1668.
My Lord, — 1 pray your Lordship to accept of the enclosed
print, which contains a tacit confutacion of the late French
pretended miracle, said to be done in a village near Saumur ;
the narrative of which was sent hither in French, and here
translated and printed in English. I suppose your lordship
hath heard of it, how that Our Saviour appear'd, by way of a
picture on the altar, at the time of the masse, for a quarter
of an houre, many people seeing it with astonishment, which
afterwards was examined by the Bishop of Angiers, and de-
clared for a miracle in print. I have sent a copy of these
transactions to my correspondent at Paris, a true Huguenot,
with a desire to render the first head of this book French,
and to send it to the place where that appearance of Our
Saviour was made, to undeceive, if possible, the poor people,
and to discover the cheat of those clergymen, that would
father a lye upon their God.
I saw yesternight a cart leaden with at least 600 bricks,
whereof each by weight weighed above four pounds, drawn
by one horse in an uneven and ascending way, by a new con-
trivance, which avoydeth rubbing much more than ordinary
carts. It has been devised, as I mentioned formerly, by the
concurrence of persons of several nations ; and the patent of
them is given in divers contry's ; here, to the Duke of Mon-
mouth, and to Sir EUis Leyton (as hemself told me), and at
Paris to some great persons ; as also in Flanders. In the
LETTERS ON SCIENTIFIC SUBJECTS. 105
mean time, our mathematicall mechanicians doe not want ex-
ceptions against the extraordinarines of the contrivance.
********
Your Lordship's very humble and faithful servant,
H. O.
For the Right Honourable the Lord Brereton
at Brereton in Cheshire. Stonebagg.
P.S. Mr. Hook presents his humble service to your Lord-
ship, and begs the favor to send him some account of the
causeway found so deep under ground, and of what shels are
found in stones, or ligna fossilia &c. Whereby you will
much oblige him.
MICHAEL DARY TO JOHN COLLINS.
[MS. Birch, 4425, fol. 54, r°. Orig.]
The equation is this : —
+ V4 + 8 V3 - 24 y9 4- 104 y — 676 = 0
Mr. Collins, — I have beene lately trying to break biqua-
dratique equations into two quadratique ones, and I have
effected my purpose in a great many, some by the aliquote
parts, and some by the cubicall mant, but this soure crabb I
cannot deale with by no method, &c.
Your servant,
MICH : DARY.
Tower, the 8th Febr: 1674-5.
NOTE ON THE SOLVING EQUATIONS, BY JOHN
PELL.
[MS. Birch, Brit. Mus. 4432, fol. 26, Orig.]
May 20, 1675.
Mr. Dary only solved cubick equations by ayd of a qua-
dratick equation in a particular case, not knowing the use of
both the rootes of his quadratick equation; but Collins
knowing how to take away two tearmes in any equation
hath a different generall method of solving these and higher
106
LETTERS ON SCIENTIFIC SUBJECTS.
equations by ayd of logmes, or by his little table of continuall
proportionalls for interest, whereby he finds two rootes at a
time, and depresseth the equation two degrees. Whereas
Deschartes cubick equation only serveth to breake a biqua-
dratick equation into two quadratick ones, \vhereof the rootes
are afterwards to be found, and a paire of rootes being by
Collins method alwaies found, or two impossible ones re-
mooved (by ayd of the rootes of pure powers and adfected
equations) one degree lower than that proposed, it follows
that solid problems are effected by plaine geometry, et pro-
blema Deliacum tandem feliciter expugnatum. Deo gloria !
JOHN COLLINS TO MR. OLDENBURGH.
[MS. Birch, Brit. Mus. 4432, fol. 25.]
May 25, 1675.
Sir, — Be pleased to intreate the learned and worthy Mr.
Tschirnhaus, to make a construction by a circle for finding a
roote of either of these equations, which have the conditions
he requires
a a a— 3 a a + 3 a— 1=N
In which if a roote be
Or to this equation
a#
In which if a roote be
N is
N is
0
1
8
27
64
8
27
64
125
216
Which are the cubes
of numbers less than
the roote by unit.
Which are the cubes
of numbers greater
than the roote by unit.
And when he hathe demonstrated the same and illustrated
the worke by examples in numbers he hath solved the Del-
phick probleme with great renowne, and intreate him to make
the same publick in the Transactions, the consequence of it
will be that he hathe taken away the two first or highest
tearmes in these equations, which renders it probable that
the like may be done in other and higher equations, and
consequently the difficulty that hath hitherto been crux in-
genii will be removed ; this is the thing most wanting in ma-
thematicks, and if he doth this, 'tis that I so much aspire after,
LETTERS ON SCIENTIFIC SUBJECTS. 107
and have methinks a prospect of methods that I hope will
not faile in the attainment, consisting of two branches. The
one to make such habitudes or co-efficients relating to two
tearmes in an equation, that taking away one of them, the
other shall vanish with it. The other to reduce such tearmes
to those habitudes that want them, though something hath
been done in this kind and not in vaine, yet there still is re-
quired more still labour and time, than can be affoarded by
his and
Your most humble servitor,
JOHN COLLINS.
SIR SAMUEL MORLAND TO JOHN PELL.
[MS. Birch, Brit. Mus. 4279, fol. 143, Orig.]
Saturday, 13th May, 1682.
Sir, — Not being able to wayt on you as yet (as I intended)
I take the boldness to send you my first request in writing,
which is to beg you to answer the following queres : —
1. Supposing a foot to be divided into 12 inches, what is
the number (and decimal parts) of cubick inches which are
equal to the content of a cylinder, the diameter of whose base
is 1 inch, and the height 12 inches?
2. What is the number of cubick inches that equal the
content of a cylinder, the diameter of whose base is 2 inches,
and the height 12 inches ?
3. What is the number of cubick inches answering to a
cylinder, the diameter of the base being three inches, and the
height 12 inches?
And if your leisure will permitt you, I would beg a table
giving the number of square inches conteyned in the areas of
all circles from 1 inch diameter, to a 100 inches diameter.
And what trouble this shall give you, shall be acknow-
ledged by
Your most humble and faithful servant,
S. MORLAND.
APPENDIX.
I. Corrector Analyticus, or strictures on the Artis Analytics Praxis
of Thomas Harriot, by Nathaniel Torporley. From the original
manuscript preserved in the library of Sion College.
Tractatum analyticum ilium posthumum proximis diebus hisce
proinulgatum retracturo, triplex mihi incumbit negotium pro triplici
rerum retractandarum differentia. Queedam enim ejusdem dictata
(quis hoc credat ? in mathematicis prsesertim quibus inservit de-
monstratio, ut lapis Lydius ad segreganda a falsis vera, a tali vero
prsesertim Coripheeo mathematicorum credito, a talibus prsesertim
recognitoribus summa fide et diligentia omnia describentibus) non
solum controversa et dubia, sed etiam a veritate aliena, pseudola et
falsaria. Quse idcirco sunt accuratius discutienda, redarguenda et
resecanda, ne vel decipiatur inter legendum artista, vel prse indicio
damnetur assertor. Qusedam etiam sunt imperfecta et mutila, ne
dum non ab ipso authore consummata, sed ne etiam, quse ab ipso
bene excogitata et scitu necessaria sunt tradita, ab ejus administris
eadem promissa fide et industria posteritati transmissa. Neque vero
est ut sese excusatos haberi preesumant a testata intentione sua illam
prsecipue partem artis ornandi, quse spectet ad resolutionem nume-
rosam, accitis reliquis tantum obiter ejus ut puta introductionis.
Collatis enim iis quse erant proprise Harrioti ipsius inventiones, cum
reliquis quas aliunde mutuum assumpsit : tarn quidem in pusillo
compingeretur sua ipsius inventa, quas proprias qusesivit opes, ni-
hil ut fuerit reliqui, si universa ejus inventionum farrago congera-
tur, ad justi voluminis quantum vis exigui comprehendendam dimen-
sionem. Itaque tertius ordo animadvertendorum talium esto prse-
ceptorum quse prius ab aliis tradita, facta levi aliqua mutatione in
possessionem hujus authoris pervenerunt. Etsi illius modi aliena
occupandi consuetudo adeo evasit usitata et familiaris, ut non solum
licitum sed et laudabile videatur esse quod fuerit publicum. Prorsus
ut mihi videantur scriptorum hodiernorum plurimi non tarn authoris
agere ad lectores docendos, quam scholares in ludis literariis, quando
110 APPENDIX.
dictata praeceptore didicissent, memoriter eodem coram oondisciptilis
repetentis. Sed ut non dignum vituperio indico in alienam messem
immittere falcem aliquam vel methodicam, vel expositoriam vel dic-
taminis, dummodo debitus primaevo servetur honos : ita nego plau-
sum optime merit! de re literaria mereri cramhen bis positam nedum,
sed neque ullam inventionem, nisi ilium quae illecebris jubet et grata
novitate moretur discentem. Atque hujus generis commissa, quando
maximam partem occupent totius editi opusculi, otiosum fuerit sin-
gula percensere. Suifecerit ergo eadem generalius et carptim per-
strinxisse. Neque praeterea erit opus has ita notatas tripartitas
discussiones sigillatim et suo ordine sub quodam methodo reductas
percurrere : quando quaedam ex observatis pluribus ex his tribus
censuris obnoxia sint, adeo ut quae falsa sint, ilia oriantur ex omis-
sione jam latorum praeceptorum ; et quae aliunde ascititia sunt, ilia
ex non recte intellectis antea traditis in falsa degenerent. Si ergo
non servetur ordo in his recensendis, sed quseris utrumque primo
obvia examinentur, nihil retulerit, ordo enim et methodus ad fabri-
cam non ad demolitionem inservit. Nam de excusanda stili ruditate
non est ut laborem, decrepitus jam senex et jam moriturus. Altero
demonstrationes satis illas ornatas, si ex omnibus rhetorum phaleris,
uti quae ornantur cibi puritate licet diminuta exprimantur. De reli-
quis contendant aucupatores famae. Ego si dedecoris pristini labem
abstersero, pulchre discedo et probe et prseter spem. His ita brevi-
ter praefatis deinde videamus quod Harriotus instauratus apportet
bonive malive. Primo itaque de Harrioti methodo dicamus, cujus
saepius mentio facienda est in sequentibus, ut constet et de prolatis
et de praetermissis, ubi non possum non conqueri, illud ne male ha-
bere quod ejus glossarii ita penitus transformarunt eandem, ut non
solum non ordinem sed vix verbum ejus retineant. Id quod forte
laude dignum esset, si alicujus illiterati fortuito inventa distribuis-
sent. Sed cum hominis per eos in coelum sublati et cui encyclope-
diam summam ascripserunt, opera ita transmutarunt ut vix vestigium
ab eo pressum appareret : quod non erat aliud quam confessio tacita
alicujus deprehensae imperfectionis cui suppetias ita esse percuperent,
aut saltern se illi fore praepositos crederent. Atque illius methodus
ilia erat.
Primo accurata tractatio irrationalius surdorum sive, ut ille vocat
eos, radicalium numerorum, non ilia quidem aliena ab analytica arte
confitentibus ejus interpretibus in sectione, sed totam artem omit-
tentibus mixum. Nam si inutilis ad Exegesin, cur ejus ibi fecerunt
mentionem ? Si mentionem fecerunt, certe ut non inutilis, cur igitur
non descripserunt ?
His insuper addidit, veluti etiam praeludia ad ipsam analyticam ;
speculationem de numeris et binomialum speciebus, de extractione
radicis quadratae e binomio piano, et quo plurimum sudavit (et illud
forte necquidquam) de extractione radicis cubicae e solido binomio,
usque ad exhaustionem viginti septem aut octo chartarum. Nam
solebat ad imitationem juris peritorum per chartas ab una parte exa-
ratas, et per articulas simul colligatas, distribuere seorsim diversa
documentorum suorum membra, ut ita homogenea unum in locum
APPENDIX. Ill
reponerentur, prsepositis quibusdam paragraphis plerumque literarum
cum chartarurn ascripto numero, ad satis methodicam inventionem
cujuscunque particularis subject!, quando ad illud relatio quomodo-
cumque esset facienda.
Quibus accesserunt, vel processerunt potius. Operationes logis-
ticee in notis ita dictae ab Harrioto, ubi incipiunt ejus glossatores sub
titulo. Logistices speciosae quatuor operationum formse exemplifi-
catse non ita scilicet magistraliter distant! illo. In ipso analytices
artificio contentus trimembri divisione inscribit primam ejus partem
ita. De generatione aequationum canonicarum sub paragrapho d)
compaginatis ad illud argumentum chartis 21 cum appendiculis duo-
bus de multiplicatione radicum.
Secunda pars autem sub titulo " De resolutione aequationum per
reductionem," habet paragraphum e) chartas 29. item/o) chartas 7 :
ffi) chartas quoque 7 : et succedens illis in chartarum numeratione,
/ y) ad chartam/ 18 y) cum appendicula sub lemmate duplici non
ilia contemnenda licet a suis omissa : Deinde / e)) chartae 8. f e)
chartae 4./£) item 4 : Postremo seorsim sub signo H^~ chartae no-
vem continentes reductiones veterum ad Harrioti methodum revo-
catas.
Sed tertiam partem (non ita studio dissentiendi) cum Vieta in suo
libro. De numerosa potestatum resolutione, et recte merito. Non
totus fere est Vietaeus per exempla singula, et supposito paragrapho,
et in chartis 13 sunt exempla tria quadratica quorum primum est
suum, duo reliqua sunt Vietse, quinque cubic* omnia Vietae praeter
primum. Et quinque quadrate quadratica quorum quartum est suum,
reliqua Vietae. Et sunt ista secundum Vietae methodum aequatio-
num omnino affirmantium. Altera ejus pars sub paragrapho 6) in
chartis 12 habet cum Vieta habet analyticam potestatum affectarum
negate quadratica b 1) b 2) b 3) cubica 64) ad b 10) quadrato-qua-
dratica 6 10) 611) 612).
Tertia ejus pars sub paragrapho c) habet 18 chartas, tractat ana-
lysin potestatum avulsurum cum Vieta, ubi radices sunt multiplices
et singularum limites demonstrantur. Exempla hujus sunt quadra-
tica duo, cubico-cubica 4, quadrate- quadratica duo. Sunt alia quae-
dam particularia hunc spectantia, de quibus suo loco.
Haec est generalis ; et quantum poscit nostram propositam perbrevis
ejusce methodi synopsis tarn ilia facilis et perspicua quam est septi-
membris illorum distributio. Unde partem liquet e tribus illis par-
tibus earn de numerosa resolutione totam esse usurarium et ipsum
Vietam a capite ad calcem redolere, paucis, ut dixit Harriotus, mu-
tatis. Ilia autem pauca cujusmodi sunt ? quae certe non nihil com-
pendii praecepto afferunt, sed et quae nihil negotii adimunt operatione.
Ex sequentibus etiam patebit secundam partem reductionum Vietam
agnoscere parentem ex parte maxima, alioqui alios praecedentes ha-
bere authoris : ut nihil ex toto volumine in genere reliqui supersit
Harrioti proprium praeter primam generationis partem, quam certe
non numerito dixerit quis fabricam vel omcinam nihili ; non quod
nihil exinde boni oriatur, sed quod ex nihili ingeniosa tractatione,
totum illud quodcunque sit (quod sane non est contemnendum in-
112 APPENDIX.
ventum) derivetur. Nam ex hypothesi primo quidem si negetur
idem de eodem sese nihil reliqui superesse, ut posito a •< b, turn
a — b < o, deinde si vel in se nihilum duratur vel in quantitatem
quamcunque positivam produci quoque nihilum (veluti si posita
quantitas c, duratur in a — b, quod ob primum hypothesin valet ni-
hil, turn erit a c — b c nullius amplius valoris) universam canonem
omnium administrationem subtili certe prosecutione deducit. Et
hoc (namque confidentius illud attestor) non sine divinse providentise
manuductione accidisse credendum est. Ut qui toties illud genti-
lium axioma inculcasset (ex nihilo nihil fieri) ipse sese erroris dam-
nerat ; ex nihilo tot et tarn speciosa artis depromerat miracula. Ut
quum ipse tarn ens mortale entia tot, et ilia immortalia quo dum-
modo ex nihilo generet ; rogatur nolens volensve confiteri immorta-
lem Deum, potentissimum, optimum, maximum, non tarn sapientis-
simum, quam ipsam sapientiam summam, omnipotentise suse praero-
gativa posse ex eodem nihilo ipsam entium visibilium et ad interitum
festinantium compagem creare. Sed ne declamatoris partes potius
quam demonstratoris agere videar, opportunum est ad examinandum
veniamus, ecquid habemus in illo tractatu posthumo quod contem-
namus, idque apodietica censura castigemus. Qua in re, missa
cunctatione ad ipsum singulum rescindendum protinus accedemus ;
ut accuratius ventilata absurditatem una et ex probatis cognito posse
tales aretis antesignamus cellabi ; de csetero sine praejudicio authori-
tate quantumcunque famosorum posthabita, in hoc ipso imitemur
Aristotelem, ut sit nobis charissima veritas, ne excepto ipso Platone.
Sic igitur accipe, et crimine ab uno, disce omnes horum infirmi-
tates.
Sunt in dicto opere et in sectione ejus tertia, problemata tria im-
mediate sequentia, scilicet decimum nonum, vicesimum, et vicesimum
primum, quse paraphrastes fatetur non bene sese intelligere, et ideo
referre reductiones sequationum illarum ad meliorem inquisitionem :
nihilominus describit eas tanquam reducibiles sub hac forma.
PROBLEMA 19.
yEquationem quadrimoniam
aaaa — baa,ja + bcaa + be da
— caaa — bdaa + b cfa = b c df
-j- da a a — c da a — b df a
-f- fa a a — bfa a — c dfa
— cfa a
+ dfa a
posito Z>-f-c = d+/ad binomiam
aaaa — bbba — bbbc
— b b c a = b b c c
— bcca — b ccc
— ccca
reducere, sublatis scilicet gradibus a a et a a a.
APPENDIX. 113
PROBLEMA 20.
^Equationem quadrimoniam
aaaa — baac + bcaa + be da
— caaa — b dc a + b cfa = — b c df
+ daaa — cdaa — b dfa
•\-faaa — bfa a — c dfa
— cfaa
+ dfa a
posito bc+df=bd+cd + bf+cf
ad binomiam aaaa — b b b a a a
— bbcaaa_bbbccc
— bccaaa = bb + be + cc
— cccaaa
bb + be + cc
sublatis reducere scilicet gradibus a et a a.
PROBLEMA 21.
yEquationem quadrimoniam
aaaa — baaa + bcaa + be da
— caaa — bdaa + b cfa = — bcdf
-f- da a a — cdaa — b dfa
•i-faaa — bfaa — cdfa
— cfaa
+ dfa a
posito d + / = b -f c
ad binomiam aaaa — b b a a ,,
= 0 b c c
— ccaa
reducere, sublatis scilicet gradibus a et a a a.
Istse sunt tres illse reductiones praeclare sequationis ejus quadrimo-
nise ad tres binomias, seu mavis generationes binomiarum, quse ad
resolutionem numerosam magis sunt accommodse, utpote quse sint
minus affectionibus oppressse. Quse quidem glossariis Harrioti forte
viderentur sufficere ad praxin suam exigeticam excercendum. Sed
non istae similiter mihi sufficiunt ad facultatis specimen ut consultet
ne etiam paulo penitus rimasse Harriotica. Nam restat in adversariis
ejus omissus modus secundus generandi binomiam sequationem pro-
blematis decimi noni ubi tolluntur gradus a a et a a a, idque ab ilia
sequatione quadrimonia qua describitur in propositione undecima
sectionis secundse inter originales, nee locum sortita est inter reduc-
titias.
Ut igitur accuratius de Harrioti dormitatione statuamus et simul
constet in mathematicis seque atque philosophicis aequivocam gene-
rationem posse reperiri. Sic igitur se habet apud Harriotum in
I
114 APPENDIX.
d 72°) sed quia sordent illis locutiones Harrioticae eminemus potita
phrasi paraphrastarum.
^Equationem quadrimoniam
aaaa — baaa + bcaa — bcda
— caaa + bdaa + be/a = + bcdf
— daaa -f cdaa + bdfa
-f fa a a — bfa a + c dfa
— cfaa
— dfa a
ad binomiam
aaaa — bbba ,,,
77 == — 0 0 0 C
— bbca
— bcca — bbcc
— ccca — b ccc
vel per conversionem
signorum ut vult Harriotus bbb c = bbba
bbcc -f- bbca
bcc c + bcca
+ ccca — aaaa
reducere, sublatis scilicet gradibus a a et a a a.
Et ignoscant, uti spero, si sequendo authorem, non adeo cum illis
fuero sollicitus, ut signa intervertam cum illis, quo ponatur summa
potestas affirmativa, etsi ab altera sequationis parte sint homogenea
negativa, quod aliquid in se saltern habet indecori, sed nobis minutia
non sunt animadvertenda.
Et ad correctionem horum problematum accedens, utar tali argu-
mentatione nam sunt et nobis syllogismi, me licet hostis inter alia
convitia et hoc criminaretur domino Petworthise quod essem dialec-
ticus ignarus.
Si sit possibile ut ex sequatione quadrimonia generetur binomia
necesse est ut in gradibus ablatis coefficientes utrumque negativa
sint sequalibus coefficientibus affirmativis sed in hisce problematis
impossibile ut coefficientes utrinque (hoc est in utroque gradu ablato)
negativa sint sequales coefficientibus affirmativas.
Ergo,
In hisce problematis non est possibile ut ex sequatione quadrimonia
generetur binomia.
Contra majorem propositionem peccant paraphrastse puerilius, con-
tra minorem peccat Harriotus inconsideratius.
Sed ad primum errorem castigandum paraphrastarum scilicet qui
ex posita unica sequalitate, puta b + c — d+f'm problemate 19 et 21
etZ>c + 6?/=6c?-f cc?+6/+cinproblemate 20, non est ut multum la-
boremus. Ipsi enim suo indicio sibi ipsis opponunturin locis plurimis
reductionum suarum, ubi inferunt hsec verba in sequatione proposita
per particularium contradictionem eliditur gradus primus, secundus,
vel tertius, et tollantur contradictoria redundantia, item rejecto re-
APPENDIX. 115
dundantium ex contradictione et similia, ex quibus, per ipsos mani-
festo sequitur nisi fiat elisio, rejectio, vel redundantia inaequalius et
contradicentibus alicujus coeflicientis partibus, falsam esse et impos-
sibilem ejusdem gradus cui ascribitur coefficiens ablationem. Et
merito illud quidem. Nam si inaequalitate existenti inter partes
ejus affirmantes et negantes : si excessus fuerit penes affirmantes
aufertur ex ilia parte aequationis tanto plus justo quantum est diffe-
rentiae partium coefficientes in gradum ablatum ducta. Sin autem
exuperent negantes tantumdem excedet ilia pars aequationis ipsum
homogenium datum, cui statuitur esse aequalis. Impossibile igitur
est, ut ad unicam positam aequalitatem coefficientis partium inferatur
ablatio plurium quam unius gradus parodici. Quod ipsum satis erat
notum Harrioto. Nam in singulis illis ejus paralogysmis assumit ut
in confesso duplicem partium duplicium coefficientium sequalitatem
ad binos quosque tollendos gradus. Et hoc facilius admisit incom-
modum quia in prsecedentibus ad tollendos gradus tantum singulos,
eadem aequalitates partium coefficientis unius cujusvis qualiter in-
serviebant quo facilius introducta est hypothesis sequationis geminse
partium, quae contra minorem argumenti esse nostri propositionem
militat et jam nunc nobis sed majori conamine et mactimis validio-
ribus oppugnanda est, sequentibus praemissis lematiis.
Lemma primum.
Si quantitas aliqua semel atque iterum bisecetur inaequaliter :
factum a partibus minoris inaequalitatis, et differentiae quadratorum
dimidiarum differentiarum inter partes inaequales.
Esto quantitas a b divisa primo in c puncto in duas partes inae-
quales ac, c b, deinde in duas alias ad, db, ubi inaequalitas prima
inter a c, c b minor est T » inse-
a c c a b
qualitate secunda inter a d et db, et sequitur propositum.
Nam tertio divisa eadem in partes aequales a c, eb, per 5 2 est
factum ex a c, c b, cum quadrato c e aequale quadrato semissis scilicet
e b : atque etiam factum ex ad, b d, cum quadrato ad aequatur eidem
semissi ergo et aequantur invicem. At e c et e d sunt dimidiae diffe-
rentiae partium ac, c b et partium ad, db, ergo facta a partibus cum
quadratis dimidiarum differentiarum, sunt invicem aequalia, et ablato
ab sequalibus quadrato minoris differentiae e c erunt residua aequalia,
nimirum factum ex ac, cb aequale facto ex ad, db cum differentia
quadratorum ec,ed, dimidiarum puta differentiarum, ut erat propo-
situm.
Jordanus in 20 primi ex hypothesi hujus propositionis infert aliam
conclusionem, licet aliis verbis factum scilicet e partibus differentiae
minoris a c, c b aequari et facto e partibus reliquis et facto ex diffe-
rentiis alicujus unius partis primae divisionis et partium singularum
divisionis reliquae ; ut sit factum ex ae, cb aequale facto ex ad, d b,
et facto ex differentia inter ae, ad, et differentia inter ac,db, quod
instar corollarii poni potest.
I 2
116 APPENDIX.
Lemma.
Si quselibet duse quantitates bisecentur insequaliter ; quse fiunt ex
quatuor producta e singulis partibus unius in singulas partes alte-
rius, sequantur producto quod fit a totis in se ductis.
Hujus lemmatis non est e longinquo accersenda demonstratio
cum sit proposito idem cum primo secundi Euclid is quamvis gene-
ralius enunciata, ad omnes species quantitatis comprehendas, et
quasi reciproca ejusdern repetitio areX.
II. The Autobiography of Sir Samuel Mor land, in a letter addressed
to Archbishop Tenison. From the original manuscript preserved
in the library at Lambeth Palace.
[MSS. Lambeth, 931, Orig.]
SIR, — I am not ignorant of the various reports of the excessive
prodigalities and other sins of my youthful daies, that have now for
a long time been spread abroad by the credulous and censorious
world; especially since it has pleased Almighty God of late years, to
visit mee with manifold crosses and afflictions which have kept al-
most as exact time and measure as formerly did Job's messengers.
And farr be it from mee to act the pharise's part, or plead my inno-
cence, in any other terms.
However I have thought it necessary, (being sensible of my
mortality, and knowing well that I address myself to a true Natha-
niel, in whom there is no guile!) to make you my confessor, and to
give you an abbreviat of the history of some part and passages of
my life, being willing to carry the rest into the grave with mee, by
reason of the circumstances of the age wee live in, there to bee
buried in oblivion.
Having received my education in Winchester Colledg, I was re-
moved to the University of Cambridg, wrhere having spent nine or
ten years, I was sollicited by some freinds to take upon mee the
ministry, for which, fearing I was not fitly qualified, I betook myself
to the study of the mathematicks. Soon after, an occasion present-
ing itself, I accompanied an ambassador, (among several other gen-
tlemen) sent by the protector to the queen of Sweden. At my re-
turn, I was recommended to Secretary Thurlo for an assistant, and
in a few months time after, sent by Cromwell as an envoy to the
duke of Savoy in behalf of the protestants of the valleys of Pied-
mont. And from thence to Geneva, as his resident, to manage the
affayrs of those poor people together with other forraign ministers,
as likewise to transmitt the moneys collected in England for their
APPENDIX. 117
releif, and to prepare minutes, and procure records, vouchers, and
attestations, for the compiling of an exact history of the Waldenses.
That negociation being ended, and having exposed an account at
my return of the whole transaction to a select committee of gentle-
men who were appoynted by Cromwell to examine particulars and
make their report, as appears by their certificat marked (A)*, regis-
tered in the council books, of which I have the original, I was ad-
mitted into the most intimat affayrs of state ; where I had frequent
opportunities of taking a clear view of all proceedings from 41 to
56, and so forwards for severall years.
Amongst other intrigues, I was an ey and ear witnes of Dr. He-
wet's being inhumanely trepann'd to death (together with several
other persons of quality) by Thurlo and his agents. For instance,
one Dr. Corkor was sent by Thurlo to Dr. Hewet to advise him and
desire him on the behalf of the royalists, to send to Bruxels for
blank commissions from Charles 2nd. And when those commissioners
were come, was ordered to desire to bee employed by him to di-
sperse part of them into several counties and to keep the rest by him,
which done he was seized on, together with those commissions, and
condemned by a High Court of Justice, and at last cruelly executed.
I was likewise privy to a design which was carried on by Sir
Richard Willis (whom Charles II. trusted with all his affayrs in
England) from a year before Cromwell's death to the rising of Sir
George Booth (afterwards L. Delamar) for giving up the person
of his majesty. At which time, the said Sir Richard Willis, by the
appointment of Secretary Scott, and one person more (Thurlo being
now out of employment) hired a great house called Weston Hanger,
in Kent, moated about, and situated for the purpose, and then ad-
vised and pressed Charles II. with all diligence to come for England,
and reside in that house for the better encouragement of those who
should rise in arms for his restauration.
To this proposition the king readily consented, and the day of his
setting out from Bruxels (as I remember) was appoynted, and notice
thereof being given to Scott by Sir R. Willis, there were several
thousands of chosen men arm'd cap-a-pe, who had instructions to
place themselves round about in woods and as privately as was pos-
sible, and upon the watchword given that the king was enter'd into
the said house, to rush in and murder him and all his followers in a
hurry, so as it might never be known by whose hand he fell, which
was thought by the contrivers a much better method than formally
to bring him to a tryal before a High Court of Justice, as they had
don his father.
Now the horror of this and such like designs to support an usurped
government, and fearing to have the king's blood layd another day
in foro divino to my charge, (there being no person but myself,
and the contrivers, and the cheif of those who were to act it, privy
to it) ; and calling to remembrance Hushai's behaviour towards
* This paper marked (A) and entitled "Certificate of the committee for Piemont
concerning Mr. Morland's negociations for the protestants of the valleys," is pre-
served in the same volume, and is apparently the only one now remaining.
118 APPENDIX.
Absolom, which I found not at all blamed in Holy Writt, (and yet
his was a larger step than mine, I having never taken any kind of
oath or made any formal promise that I ever remember to any of
those governments) ; as likewise seriously reflecting upon those
oaths of supremacy and allegiance which I had taken during the
reign of Charles I . at Winchester Colledg, I took at last a firm re-
solution to do my native prince, and the rightfull heir to the crown,
all the service that should lay in my power. And here I cannot
ornitt to observe,
1. That this juncture of time was the darkest moon of all that
king's reign, a time when hee was in a manner abandoned by almost
all his neighbouring princes and states, and miserably betrayed by
many of his domestic servants, and some of those in whose hands
were all his secrets and principal affayres. A time when he was
in great distress for moneys, that being prest by Sir Richard Willis
to send him fifty or sixty pound, as oft as hee sent him over new
instructions, which was usually once a month (though at the same
time hee had much greater sums conveyed to him by my hands in
dark nights and obscure places such as the Vine Tavern in Holborn,
hackney coaches, and the like ! ) His Majesty was frequently forced
to pawn his plate or jewels, and as I remember, once to sell his
coach horses to supply him. All which misfortunes Sir Richard
Willis having enumerated and illustrated in a letter of his to mee
about the same time to encourage the king's enemies here, pin'd
the basket, and closed his letter with this paragraph, verbatim, viz.,
And now I know not what power that little king has left him, unless it
bee to command his followers to run madd as they please.
2. This was a time when I lived in greater plenty then ever I did
since the king's Restauration, having a house well furnish't, a suffi-
cient number of servants and attendants, a very good coach and
horses in my stables, a revenue of above a thousand pound per
annum to mainteyn it , and several hundreds of pounds of ready
money by mee ; and a beautiful young woman to my wife for a
companion. Now the giving myself up to serve the king was not
onely to hazard all this, but to live in dayly expectation of being
taken out of my bed or house, and drag'd to the torments, and there
had my flesh pull'd off my bones with red hot pincers ; these were
Thurloe's own expressions how they had dealt with mee had they in
the least suspected mee.
3. Had ambition been and titles of honor been what I aym'd at,
whenever the king should be restored; so little appearance was
there at that time of any such change, and such characters were
then given of the king's person, that to rely upon a promised honor,
would have seemed no other then building castles in the ayr, and a
hundred pound for the purchase of a Gartar would have been
thought a desperate adventure.
4. Had gold been the god I then worship't, I had fayr opportuni-
ties, as its well known whilst I resided at Geneva, to have gone
away with above twenty thousand pounds into some remote corner
of the world, where the power then in being could never have
APPENDIX. 119
reacht mee. Or I might have accepted at my return of a much
greater sum to have timely discovered the whole design of Crom-
well's expedition into the Indies for the Spanish gold ; all those
commissions and instruments being either in my view or in my cus-
tody.
Whoever shall seriously consider the foregoing observations will
hardly believe that any self ends, (though possibly they might, by
the pravity of man's nature, and the subtilty of the Divel, bee in-
jected into the fancy) could possibly outwey the considerations of
duty and conscience in such an undertaking as this of mine was, in
the blackest and worst of times.
Having now resolved upon the end, the next thing was to con-
trive the means of effecting it. And having made choice of one Ma-
jor Henshaw, (whose life I had some time before saved, he being
one of the forty men who had sworn neither to eat or drink till they
had killed Cromwell) I gott him to send a letter to Charles 2nd.
by one of his confidents, to acquaint him that there was death in
the pott, if ever hee entered within the doors of Weston Hanger.
This letter happened to bee put into his hands, as hee had one of
his boots already on, and was drawing on the other, to ride post
towards the water side, in order to his coming over, as Sir Richard
Willis had advised him, for the encouragement of his party. This
letter putt a stop to his journey, but with much difficulty, the king
being made almost believe, by the lord of Ormond and others, that
this was onely a stratagem of the protector, to throw dirt upon his
beloved favourite, and so to spoyl his best design.
However, the king sent mee an answer marked (B) , whereupon I
dispatch't Major Henshaw himself, with a second letter, and ac-
companied it with several long letters, all written with Sir Richard
Willis his own hand, discovering from time to time all the king's
secrets, and whatever His Majesty had entrusted him with.
To this the king sent mee a second letter marked (C).
With one of these letters came a privat paper, as from the king
(but in truth from the chancellor himself), ordering mee to send him
in another privat paper an account of his chancellor Hyde, and
what I knew of him, for hee was then accused of corresponding
with Thurlo, and receiving moneys from Cromwell. I believing it
came really from the king, sent such an account as it seems did not
very well please his lordship. And Hinc illse lachrimse ! From that
time hee became a mortal enemy.
When I went over to Buda, upon the king's Restauration, the
chancellor charged mee not to ask any thing of the King, till he
came into England, His Majesty being resolved to give mee more than
in modesty I could petition for. But when I had wayted in
England till all things of moment were given away, and at last de-
sired to know what the king designed for mee, his answer was,
zounds ! what the Divel would you have ?
Before the king's coming over, by Major Henshaw's and his
confidents privat agreement, as I believe with the chancellor, my
wife was made believe that there was a patent brought over and hid
120 APPENDIX.
under ground to give mee the Gartar, and make her a dutchess, as
being descended from a noble family in Normandy, which was a
truth, and they had so far possest her with this vain imagination,
that shee, desiring mee to walk with her privatly into the garden
of my countrey house, a little beyond Bow, she conjured mee upon
Tier knees in the face of Heaven to promise and swear to grant her a
certain request, which was never to ask any thing of the king but
let him do as hee pleased. And when I pleaded with her, and
foretold her what really fell out afterwards, her answer was this —
The misfortune fall upon mee and my children.
The king being restored, all his promises ended in a patent for a
baronetcy and a gentleman's place of the privy chamber, which was
onely a place of great expence, and cost mee at the coronation 450
pounds in two days. And after I had, by the chancellor's order as
from the king delivered up the first letter into His Majesty's own
hand, where hee had promised mee the Gartar, &c., I had given mee
a pension of 500 pounds per annum out of the post office. But be-
ing forced to live at a great expence, and lay out great sums in
taking out patents and riding at the coronation, &c., and so run
myself in debt, there was one sent to mee to give mee an alarm, that
the Duke of York would have the post office settled on him, and
my pension would bee lost, and I should do prudently to sell it,
and there was a chapman for it, which was Sir Arthur Slingsby,
who had it for a summ much beneath its value, and as 1 heard after-
wards, hee bought it for the Lady Green, with the king's money.
Now finding myself disappoynted of all preferment and of any real
estate, I betook myself to the mathematicks, and experiments such
as I found pleased the king's fancy. And when I had spent 500/.
or 1000/., gott sometimes one half, sometimes 2 thirds of what I had
expended. Sometimes I had pensions, sometimes none. And care
was taken by the ministers of state (under whom I was forced to
truckle, wayting oft at their doors among the footmen) that one
thing should bee spent before I gott another. One while I was
made a commissioner of excise, paying part of it to one who had
procured it. But in a few years being run in debt by chargeable
experiments I was forced to part with it. At last, with much ado,
I gott those pensions that I have of late years enjoyed, but they
being very often stopt, I was at great loss and expence, borrowing
money at 50 in the hundred and so anticipating my pension.
About two years before the king's death, hee sent mee into France
about that king's water-works, and I borrowed near a thousand
pound upon my pension (to repay the dowble to those who lent it)
to prepare models and engines of all kinds for that expedition. But
I was no sooner arrived there but the lord treasurer by his Majestyes
permission stopt all my pensions for three years.
King James did indeed at my return (which was with the loss of
above 1300 pistoles, as may appear by the French king's answer to
my last petition marked D) take oft the stop off my pension, and
ordered the payment of the arrears, but permitted the lord treasurer
Rochester to cutt off above 1 300Z. to pay the workmen for the en-
APPENDIX. 121
gin that serves Windsor Castle with water upon the account of
some boons, and some reimbursments I had gott of King Charles in
about a year and a half's time before my going over into France.
And one of the boons was 150/. which payd for the jewel hee gave
mee for pleasing him with the engine, and in remembrance of old
services, which jewel I was forced to pawn and part with at Paris to
furnish myself with money to bring mee back to England.
As an addition to all these misfortunes, having charitably redeemed
a certain woman (whose moralls I then knew not at all) from perish-
ing in a prison, was inhumanely betrayed by her, under a pretence
of gratitude, into a vain expectation of marrying an heiress of 20
thousand pound. And swallowing too greedily the gilded bait, it
proved my utter ruin.
I know it is objected against mee, that I have been extravagant
in expences with several wines. And I must confess, that was the
only content I had in the world, all other things proving cross and
full of trouble and bitterness. Besides that, I never frequented either
tavern, or kept in pension women of pleasure. And what money
ever came to my hands, excepting about 6 or 700/. per annum, in
my family or relating therein, went amongst workmen of all sorts,
for engins and chargeable experiments to please and divert His Ma-
jesty ; or else for secret service, which were often very considerable
sums. Somewhat may bee judg'd by the paper (E). I am sure I
have now hardly left ten shillings in the world.
After all I would fain retire and spend my life in a Christian so-
litude, and heartily beg you to lend me your helping hand, to have
my condition truly represented to His Majesty, whereby you will
highly and for ever oblige
Your most affectionate, humble and faithfull servant,
S. MOELAND.
May 3rd. 1689.
P.S. There is one thing that I omitted in the abbreviat of my
own history, which is, that when I did engage to serve the late
King Charles 2nd, and did reveal some conspiracy against his life, yet
at the same time I plainly sent him word that it was upon con-
dition, that I might never be call'd to bear witness against any of the
conspirators, if upon his restauration, they should happen to bee ar-
raigned at the barr of justice. And when Sir H. Vane was ordered
to bee brought to his tryall, the Attorney-Generall did indeed send
for mee, and did very much press mee in privat (and that in the
King's name) that I would appear as a witness against him, foras-
much as His Majesty had been informed that I was privy to many
transactions, where the said Sir Henry Vane was principally con-
cerned, that would by the law of England bee adjudged high treason.
But my answer to him was this, that I hoped His Majesty would
remember his promise, that not a hair of their heads should ever
be toucht upon any account. Besides that I would rather be prest to
death than come in judgment against either him or any other, whose
designs I had formerly discovered. And thereupon went home to
122 APPENDIX.
my house, and burnt a certain sheet of paper all written with Sir
H. Vane's own hand (which was a draught of a model of a new
government with severe reflections on monarchy), as also several
other papers, which would have been great evidence against him.
Extract from another letter of Sir Samuel Morland to Archbishop
Tenison, dated July 20th, 1688.
In the interim I began to consider that perhaps I might
do the public some kind of service, during this my retired life, by
explayning in a new manner and method, the first six books of
Euclid, and reducing them to common use and practice, and making
all things plain and easy to the meanest capacity ; which is a thing
that in my opinion would bee of excellent and singular use, as
well for all publick schools as for all young students in the uni-
versities ; but as yet has not been performed to purpose by any
author that I have seen whatever.
The following paper is taken from the same manuscript.
The proposalls Sir Samuel Morland gave unto Major Wildman for
the King's secret service were as followes.
1 . To open any letter though written and seald up with all the
care and nicety that is practicable ; and having coppied out the
contents, to seal the same up again, with as many as shall be
desired ; provided he have the same paper, wax and ink, that the
party that wrot and seald it shall be so far from discerning his
letter to be opend or disfigured, that he shall not know his own
letter from the other counterfeits.
2. To wash a written paper as white as before it was written.
3. To counterfeit all handwriting so dexterously, that, upon oc-
casion of state, the king may send the coppies and keep the ori-
ginalls of any letters, dispatches or other papers, till any designes
be ripe for conviction.
4. To coppy any number of whole sheets of paper close written
on both sides in as many minutes time, with this advantage, that it
will be impossible for the coppies to be erronious (a).
III. A Maynetical Problem by Thomas Lydyat, from the Bodleian
MS. No. 313.
First, — Considering the declination of the needle touched with the
(a) This document has been copied " in a minute " on the paper immediately
following it, and can be distinctly read by holding it to the light. Next follows
"An old writing pale, and almost worn out, copyed in a minute from both sides,"
which is, however, rather indistinct.
APPENDIX. 123
magnes or loadstone, from the plain of the horizon, for shewing of
latitudes, I demand whether the loadstone, as it lyeth in its natural
place and mine in the earth, hath not the two points of north and
south directly respecting the north and south poles of the earth. If
so, then, whether a straight steel wire, hung by the middles with a
small thread in equal balance, and touched on either end with the
north or south point of the stone, will not likewise directly respect
the north and south poles. I say, touched hard with the very end of
the wire : not as the usual manner is, drawn or pressed with the north
or south end of the stone, along from the middle to the end of the
wire : which, as it may seem, makes the needle decline more than
due.
Secondly, — Considering the variation of the magnetical needle from
the plain of the meridian for shewing of longitudes, I demand whether
the same magnes or loadstone, lying in his natural place and mine
in the earth, hath not as those two principal points directly respect-
ing the north and south poles of the earth, so also every other two
opposite points of itself in the like natural force (although not in the
same degree offeree) respecting those points of the earth whereunto
it hath like situation. So that, for example, 19 speak only of three
other being the chiefest, a wire touched in manner aforesaid, with the
vertical or opposite, that is to say, uppermost or nethermost point of
the stone lying in or newly taken out of his mine, by his free motion,
will, in the same horizon, turn that end directly up or down-right,
and take wholly to itself the situation and place of so much of the
axis of that horizon : and, moreover, there being a line drawn round
about the stone, sequidistant from his poles of north and south, a wire
touched in that point thereof that in the stone's natural situation re-
specteth the east or west, will likewise turn itself and lie level in the
plain of the same horizon directly east and west : and finally, a wire
likewise touched at a quarter of the said circle's distance, will duly
assume to itself that situation and place where the plains of the
meridian of the same horizon and sequinoctial meet with and cross
and cut each other. I say still, the same horizon : because loadstones
of divers countries must consequently have and shew divers horizons
and meridians with points correspondent ; there being no natural
horizon or meridian, or east and west, in the world, as there is sequi-
noctial, and north and south.
This have I conceived in my mind many years since, upon com-
paring of our countryman Norman his New Attractive, concerning
the declination of the magnetical needle by himself first observed,
and variation of the same, with Baptista Porta his book de mirabili-
bus magnetis ; but hitherto partly I have not had fit opportunity to
make trial thereof, and partly I have neglected it, by reason I
found it flatly contradicted by D. Gilbert in divers places of his books
de magnete, and also by some of my learned friends ; who, being
asked by me, whether a needle touched in any other place of the
loadstone besides the poles, would respect the poles in like manner
as if it were touched in either pole, answered that it would in like
manner, tho' not in like force, but by so much the weaklier by
124 APPENDIX.
how much it was touched the farther from the poles ; and that being
touched in the circle drawn equidistant from the poles, answering
the sequinoctial of the world, it would have no respect at all. All
which notwithstanding, many times musing with myself and think-
ing on it, and finding as yet no other sufficient reason of the decli-
nation and variation both, I suppose it possible and likely that
the loadstone generally and totally both may have such a respective
force in it, as I have said, lying in his natural mine or newly taken
out of it; and also may retain the same, and impart it forcibly enough,
a goodwhile after : if so be it be laid and kept still in the like situ-
ation. But the cause why few loadstones of many, do retain the same,
[which made Severtius, in his first book Orbis Catoptrici, think there
were divers kinds of them, some, whereof he reports himself and others
to have made sufficient trial, having more points of respect (namely,
east and west) than others,] may be for that, for the most part with-
out regard they are laid, or else by reason of their shape they fall and
lie long in a diverse or contrary situation from that which was their
natural ; now, that side upward which was downward, now that side
eastward which was westward, now that side northward which was
southward; whereby it comes to pass that within awhile, as they are
much impaired in their two principal respective points of north and
south, so they become, as it were, giddy and mopish, and at length
almost quite defective in the other.
Now, if this prove true, I dare avouch, that thereby is given a most
certain and ready means of measuring the longitudes, or east and
west distances ; and withal a most easy way of sailing by a great
circle, that is to say, the shortest cut, toward what position or situ-
ation soever ; the vertical touch for the most part being fittest for
this use, and an sequinoctial for the other ; whereas the polar touch
can demonstrate only the latitudes, although them of all other the
most firmly. But touching these corollaries there needs not any
further discourse, until experimental proof be made of the former
problem.
Th. L.
THE END.
Printed by Richard and John E. Taylor, Red Lion Court, Fleet Street.
THE
HISTORICAL SOCIETY
OF
SCIENCE.
The object of the Historical Society of Science is to render mate-
rials for the history of the Sciences accessible to the general reader, by
the publication of manuscripts, or the reprinting of very rare works
connected with their origin and progress in this country and abroad.
The plan adopted for carrying this purpose into effect is by an an-
nual subscription of One Pound from each Member, such Member being
entitled to one copy of each of the works published by the Society.
The number of Members is limited to Six Hundred, and, until this
limit is attained, Members are admitted on the introduction of one of
the Council, or by application to the Secretary.
All Communications relative to the Society to be addressed to the
Secretary, J. O. Halliwell, Esq., 35 Alfred Place, Bedford Square,
London.
BANKERS. — Messrs. COCKS, BIDDULPH, and BIDDULPH, 43 Charing
Cross.
THE
HISTORICAL SOCIETY
OF
SCIENCE.
PRESIDENT.
HIS ROYAL HIGHNESS THE DUKE OF SUSSEX,
K.G., K.T., G.C.H., D.C.L., F.R.S., &c., &c., &c., &c.
VICE-PRESIDENTS.
THE RIGHT HON. THE EARL OF MUNSTER, F.R.S.
THE RIGHT HON. LORD HOLLAND, F.R.S.
THE RIGHT REV. THE LORD BISHOP OF DURHAM, F.R.S.
SIR ROBERT HARRY INGLIS, BART., M.P., LL.D., F.R.S.
SIR GEORGE T. STAUNTON, BART., M.P., D.C.L., F.R.S.
THE RIGHT HON. SIR LANCELOT SHAD WELL, V.C.
COUNCIL, 1840-41.
CHARLES PURTON COOPER, ESQ. Q.C., D.C.L., F.R.S., F.S.A.
THOMAS STEPHENS DAVIES, ESQ. F.R.S. L. & E., F.S.A. Pro-
fessor of Mathematics at the Royal Military Academy, Woolwich.
AUGUSTUS DE MORGAN, ESQ. V.P.R.A.S. Prof essor of Mathematics
at University College, London.
JAMES ORCHARD HALLIWELL, ESQ. F.R.S., F.S.A. Sec. 8f Treas.
REV. JOSEPH HUNTER, F.S.A., F.R.A.S.
SIR FRANCIS PALGRAVE, K.H., F.R.S.
THOMAS JOSEPH PETTIGREW, ESQ. F.R.S., F.S.A., F.L.S.
REV. BADEN POWELL, M.A., F.R.S. Savilian Professor of Geometry,
Oxford.
SIR J. GARDNER WILKINSON, F.R.S., M.R.S.L., F.G.S.
REV. ROBERT WILLIS, M.At, F.R.S. JacJcsonian Prof essor of Natural
and Experimental Philosophy, Cambridge.
THOMAS WRIGHT, ESQ. M.A., F.S.A.
JAMES YATES, ESQ. M.A., F.R.S., F.G.S.
LAWS
OF THE
HISTORICAL SOCIETY OF SCIENCE,
1 . That the Society shall be entitled the " HISTORICAL SOCIETY
OF SCIENCE."
2. That the object of the Society shall be the printing of early
and other documents illustrative of the history of the sciences at
home and abroad.
3. That the Society shall consist of six hundred Members, being
subscribers of One Pound annually ; such subscription to be paid in
advance on or before the first Monday in June in every year.
4. That any Member of the Society may at any time compound
for his future annual subscriptions, by the payment of £10 over and
above his subscription for the current year.
5. That the affairs of the Society shall be managed by a President,
six Vicc-Presidents, and a Council of twelve Members, (nine of whom
shall be re- eligible) including a Treasurer and Secretary, which Council
shall be elected at the General Meeting to be held on the first Monday
in June.
6. That the accompts of the receipts and expenditure of the Society
shall be audited annually by three Auditors, to be elected at the General
Meeting.
7 . That the funds of the Society shall be disbursed in payment of
necessary expenses incident to the production of the Works of the
Society, and that all other expenses shall be avoided as much as
possible.
8. That every Member not in arrear of his annual subscription,
shall be entitled to one copy of each work printed by the Society.
WORKS IN THE PRESS.
I. Popular treatises on science of the middle-ages : — 1. The Anglo-
Saxon manual of astronomy. 2. The Bestiary and Tractatus de Creaturis
of Philip de Thaun, in Anglo-Norman verse. 3. The Ymage du
Monde, by Gautier de Metz, in French verse. 4. A cosmography in
English verse of the 14th century. Edited with translations by Thomas
Wright, Esq., M.A., F.S.A.
II. A collection of letters written by Harriot, Brereton, Cavendish,
Pell, Morland, and other eminent English mathematicians of the seven-
teenth century, before the publication of Newton's Principia. Edited
by James Orchard HaUiwell, Esq., F.R.S., F.S.A., F.R.A.S., &c.
WORKS SUGGESTED FOR PUBLICATION.
III. Treatises on Geometry written in England during the 13th and
14th centuries ; including an hitherto inedited treatise on that subject,
by Roger Bacon.
IV. Treatises on the theory and practice of music, of the fifteenth
century. From a MS. in the Lansdowne collection in the British
Museum.
V. An English treatise on Algorism, or Arithmetic, of the fourteenth
century. From a MS. in the Ashmolean Museum at Oxford.
VI. The preface to the Seventh Book of the Mathematical Collec-
tions of Pappus Alexandrinus, in the original language; with an
English translation, and explanatory notes.
VII. An English tract on the making of oils and medicinal waters,
from a MS. of the fourteenth century.
VIII. Proposals for mechanical inventions addressed to Queen
Elizabeth by William Bourne, " Master of the Gravesend Barge."
From a MS. in the British Museum.
IX. A catalogue of the scientific manuscripts formerly in the library
of Dr. John Dee of Mortlake. From Dee's own catalogue in the
British Museum.
X. A collection of early tracts on the method of illuminating, and
on the materials employed in that art.
XI. A collection of early tracts on the practice of lithotrity.
XII. Anglo-Saxon tracts of the tenth century on Botany and Natu-
ral History, with an account in Anglo-Saxon of the wonders of the
East ; together with some middle-age treatises on the same subjects,
and a selection of figures of animals and plants from early manuscripts.
To be edited with translations.
XIII. An original journal of Edward Fenton's voyage to St. Helena
in the year 1582, interspersed with scientific observations and notices
of English science.
XIV. A description of the Merva, a mechanical instrument invented
by Simon Sturtevant of Christ's College, Cambridge ; from the auto-
graph manuscript dedicated by the inventor to James I. To which
will be added biographical notices of Sturtevant, and several hitherto
inedited letters and documents.
XV. A collection of early tide tables, including a series made by
John Marshall, temp. Elizabeth.
The following list of the names of English inedited writers is taken
from the Synopsis Veterum Mathematicorum of Dr. Bernard, as being
that of the authors which it was his intention to publish. This list
will receive the marked attention of the Council, as the suggestion of
one of the ablest of mathematical antiquaries.
Athelard, Bede, Bredon, Suisset, Wallingford, Bradwardin, Peckham,
Lynne, Swinshed, Monke, Grosteste, Rede, Wyrcestre, Evesham,
Ashenden, Batecomb, Killingworth, Caerleon, Holywood, Bacon,
Burroughs, Chylmead.
Gentlemen wishing to join the Society are requested to send their names
received at the Society's bankers.
to the SECRETARY, 35 Alfred Place, Bedford Square, London. Subscriptions
BANKERS. — Messrs. COCKS, BIDDULPH and BIDDULPH, 43 Charing-Cross.
MEMBERS.
HIS ROYAL HIGHNESS THE DUKE OF SUSSEX,
K.G., K.T., G.C.H., D.C.L., F.R.S., &c., &c., &c., &c., President.
ALLEN, JOHN, Esq.
Annesley, James, Esq., F.R.S., F.S.A.
Arden, Joseph, Esq.
Atkinson, William, Esq., Weaste Lodge, near Manchester.
Attwood, Benjamin, Esq.
Aungier, George James, Esq.
Baily, Francis, Esq., D.C.L., V.P,R.S., V.P.R.A.S., Hon. M.R.I.A., F.L.S.,
F.G.S., Member of the French Institute.
Bartlett, James, Esq., Blandford.
Bell, John, Esq., Gateshead.
Bernard, Charles Edward, Esq., C. E., Cardiff.
Bickersteth, Robert, Esq., Liverpool.
Birmingham Public Library.
Bishop, George, Esq., Treas. R.A.S.
Black, William Henry, Esq.
Bosworth, Rev. Joseph, LL.D., F.R.S., F.S.A., M.R.S.L., English Chaplain at
Rotterdam.
Botfield, Beriah, Esq., M.P., M.A.,F.R.S., F.S.A., F.R.A.S., M.R.S.L.
Bright, Benjamin Heywood, Esq.
Bromhead, Sir Edward F., Bart., M.A., F.R.S.L. & E., F.R.A.S.
Brown, Samuel Cowper, Esq., F.S.A., Shillingford Cross, Devon.
Browne, Edward Henry, Esq.
Browne, William Meredith, Esq.
Bruce, John, Esq., F.S.A., Treasurer of the Camden Society.
Cabbell, Benjamin Bond, Esq.,F.R.S., F.S.A., V.P.R.I., M.R.S.L.
Cahusac, J. A., Esq., F.S.A.
Cartwright, Samuel, Esq., F.S.A., F.G.S.
Chappell, W'illiam, Esq., F.S.A.
Charles, S., Esq., Trinity College, Cambridge.
Chasles, M., Member of the French Institute.
Colborne, William, Esq., Chippenham.
Cook, Gordon, Esq.
Cooper, Charles Purton, Esq., Q.C., D.C.L., F.R.S., F.S.A., Hon. M.R.I.A.,
M.R.S.L., M.R.A.S.
Copland, James, M.D., F.R.S.
Corney, Bolton, Esq.
Cottenham, the Right Hon. Lord, Lord High Chancellor of Great Britain.
Cramer, Rev. John Anthony, D.D., Public Orator in the University of Oxford,
and Principal of New-Inn-Hall.
Crichton, Sir Alexander, Grand Cross of St. Anne and St. Vladimir, M.D.,
F.R.S., F.L.S., F.G.S.
Cull, Richard, Esq.
Cureton, Rev. William, M.A., F.R.S., F.S.A., Keeper of the Oriental Manuscripts
in the British Museum.
Davies, Thomas Stephens, Esq., F.R.S.L. &E., F.S.A., Professor of Mathematics
at the Royal Military Academy, Woolwich.
Deck, Norris, Esq.
Dell, Thomas, Esq., Aylesbury.
De Morgan, Augustus, Esq., V.P.R.A.S., Professor of Mathematics at University
College, London.
Diamond, Hugh W., Esq., F.S.A.
Diamond, John Ross, Esq.
Dodd, George, Esq., F.S.A.
Dowling, William, Esq.
Drake, Thomas, Esq.
Durham, Right Rev. Edward, Lord Bishop of, D.D., F.R.S., F.S.A., VICE-PRE-
SIDENT.
Exley, Rev. Thomas, M.A., Bristol.
Faraday, Michael, Esq., D.C.L., F.R.S. , Hon. M.R.S.E., F.G.S., Member of the
French Institute, and Fullerian Professor of Chemistry at the Royal In-
stitution.
Fletcher, Thomas William, Esq., F.R.S., F.S.A., Dudley, Worcestershire.
Frewen, John, Esq.
Frewen, Thomas, Esq.
Gaskin, Rev. Thomas, M.A., F.R.S., F.R.A.S., Fellow and Tutor of Jesus
College, Cambridge.
Gilbert, Ralph George, Esq.
Godwin, George, Jun., Esq., F.R.S., F.S.A.
Griffith, John, Esq., B.A., St. John's College, Cambridge.
Grundy, John, Esq.
Guest, Edwin, Esq., M.A., F.R.S., Fellow of Cairn College, Cambridge.
Gurney, Hudson, Esq., F.R.S., V.P.S.A., M.R.S.L.
Hall, Charles, Esq.
Hallam, Henry, Esq.,M.A., F.R.S., V.P.S.A.,F.G.S., F.R.A.S.,V.P.R.SJL, Trust.
Brit. Mus. and Member of the French Institute.
Halliwell, James Orchard, Esq., F.R.S., F.S.A.L. & E., F.R.A.S., M.R.S.L.,
English Correspondent of the French Historical Committee of Sciences,
SEC. & TREAS.
Halliwell, Richard, Esq., F.S.A.
Halliwell, Rev. Thomas, M.A.
Harding, E. T., Esq., Librarian to the King of Hanover.
Hardy, Peter, Esq., F.R.S.
Heywood, James, Esq., F.R.S. , F.S.A., V.P.S.S.
Hind, the Rev. John, M.A., F.R.A.S., F.C.P.S., Cambridge.
Holland, Henry Richard Vassal Lord, F.R.S., F.S.A. VICE-PRESIDENT.
Hollier, Richard, Esq., F.S.A.
Hunter, Evan Haynes, Esq., B.A.
Hunter, Rev. Joseph, F.S.A., F.R.A.S., Assistant Keeper of Her Majesty's
Records.
Huxley, George K., Esq.
Inglis, Sir Robert Harry, Bart., M.P., LL.D., F.R.S., F.S.A., F.R.A.S., Trust.
Brit. Mus., VICE-PRESIDENT.
Irving, David, Esq., LL.D., Advocates' Librarian, Edinburgh.
Irving, John, Esq., Bristol.
Jerdan, William, Esq., F.S.A., M.R.S.L.
Jessep, Joseph George, Esq.
Johnson, Manuel, Esq., M.A., F.R.A.S., Radcliffe Observer, Oxford.
Johnston, E., Esq.
Jones, Rev. H. Longuevile, M.A., Paris.
Jones, Rev. John, M.A., Bardd Tegid.
Kater, Edward, Esq., F.R.S.
Konig, Charles, Esq., K.H., F.R.S., Hon. M.R.I.A., F.L.S.
Langdale, Right Hon. Lord, Master of the Rolls.
Lawson, Andrew, Esq., Boroughbridge.
Lee, John, LL.D., F.R.S., F.S.A., F.R.A.S.
Lewis, H. R., Esq.
Libri, M., Member of the French Institute.
Lillington, Alfred, Esq., Southwold.
Lincoln Permanent Library, the.
Lloyd, Rev. Humphrey, M.A., F.R.S., V.P.R.I.A., Fellow of Trinity College,
and Professor of Natural Philosophy in the University of Dublin.
Lockwood, Joseph D'Alby, Esq.
Logan, Rev. H. F. C., Professor of Mathematics in the CoUege of St. Mary,
Oscott.
Lovelace, the Right Hon. the Earl of.
Mackenzie, John W., Esq., W. S., Edinburgh.
Madden, Sir Frederick, K.H., F.R.S., F.S.A., Hon. M.R.I.A., Keeper of the
Manuscripts in the British Museum.
Maitland, Rev. S. R., F.R.S., Librarian to the Archbishop of Canterbury.
Meyrick, Sir Samuel Rush, K.H., LL.D., F.S.A.
Montrose Antiquarian Society.
Moore, Thomas, Esq., F.S.A.
Munster, George Earl of, F.R.S., F.S.A., V.P.R.A.S., M.R.S.L., Member of the
French Institute. VICE-PRESIDENT.
Myers, Sir F. Waskett, K.C.S.
Northampton, The Most Noble Spencer Joshua, Marquis of, President of the
Royal Society, Trust. Brit. Mus., D.C.L., F.S.A., Hon. M.R.I.A., F.G.S.
Nichols, John Gough, Esq., F.S.A.
8
Nurse, William Mountford, Esq.
Page, Peter, Esq., East Sheen.
Palgrave, Sir Francis, K.H., F.R.S., Deputy Keeper of Her Majesty's Records.
Paris, Bibliotheque du Hoi.
Peacock, The Very Rev. George, D.D., Dean of Ely, V.P.R.S., F.G.S., Lovm-
dean Professor of Astronomy, Cambridge.
Petit, Louis Hayes, Esq., M.A., F.R.S., F.S.A., F.L.S., F.R.A.S., V.P.R.S.L.
Pettigrew, Thomas Joseph, Esq., F.R.S., F.S.A., F.L.S.
Pettigrew, W. V., Esq., M.D.
Phillipps, Sir Thomas, Bart., M.A., F.R.S., F.S.A., F.G.S., Hon. M.R.S.L.
Platt, Thomas Joshua, Esq., Q.C.
Pocock, Charles Innes, Esq., Bristol.
Poison, Archer, Esq.
Powell, Rev. Baden, M.A., F.R.S., F.R.A.S., Savilian Professor of Geometry,
Oxford.
Prothero, Thomas, Esq.
Rainy, Alexander, Esq.
Read, John, Esq., Derwent Hall, Sheffield.
Reece, Richard, Esq., F.S.A., Cardiff.
Richards, John, Jun., Esq., F.S.A.
Rigaud, Gibbes, Esq.
Rigaud, John, Esq., Magdalen College, Oxford.
Rigaud Rev. Stephen Jordan, B.A., F.R.A.S., Fellow of Exeter College, Oxford.
Rimbault, E. F., Esq., Secretary of the Percy Society.
Roberton, John David, Esq., Assist. Sec. R.S.
Robinson, George, Esq.
Robinson, John, Esq., Chiswick.
Rokewode, John Gage, Esq., F.R.S., Director S.A., F.L.S.
Rutherford, William, Esq., F.R.A.S., Professor of Mathematics at the Royal Mili-
tary Academy, Woolwich.
Savory, Thomas Field, Esq., F.S.A.
Shadwell, Right Hon. Sir Lancelot, M.A., Vice- Chancellor of England. VICE-
PRESIDENT.
Shipp, William, Esq.
Smeeton, George, Esq.
Smith, Aquilla, M.D., M.R.I. A.
Smith, Rev. John James, M.A., Fellow and Tutor of Caius College, Cambridge.
Smith, Rev. John Pye, D.D., F.R.S.
Smith, William, Esq.
Smyth, William Henry, Esq., Capt. R.N., K.S.F., F.R.S., F.S.A., Hon. M.R.I.A.,
For. Sec. R.A.S., Member of the French Institute, Cardiff.
Snow, John Pennell, Esq., Trinity College, Cambridge.
Sotheby, S. Leigh, Esq.
Stapleton, Thomas, Esq., F.S.A.
Staunton, J., Esq., M.D., Talton, Worcestershire.
Staunton, Sir George Thomas, Bart., M.P., D.C.L., F.R.S., F.S.A., V.P.R. Asiat. S.,
Hon. M.R.S.L., F.L.S. VICE-PRESIDENT.
Stephens, Archibald John, Esq., M.A., F.R.S., F.Z.S.
Stokes, George, Esq., Colchester.
Swanston, Clement Tudway, Esq., Q.C., F.R.S., F.S.A.
Sylvester, James Joseph, Esq., F.R.S., F.R.A.S., Professor of Natural Philo-
sophy and Astronomy at University College, London.
Taylor, Richard, Esq., F.S.A., F.L.S., F.G.S., F.R.A.S.
Tharp, John, Esq., Chippenham Park, Cambridgeshire.
Thomson, F. Hale, Esq.
Thornhill, Walter, Esq.
Todd, Rev. J. H., D.D., M.R.I.A., Fellow of Trinity College, Dublin.
Townsend, Rev. George, Prebendary of Durham.
Turner, Dawson, Esq., F.R.S., F.S.A., Hon. M.R.I.A., F.L.S., M.R.S.L.
Turner, John, Esq.
Turner, Thomas Hudson, Esq.
Tyssen, John Robert Daniel, Esq., F.S.A., Hackney.
Valle, Frederick, Esq.
Walker, John, Esq., Cornhill, Northumberland.
Warwick, W. A., Esq.
Way, Albert, Esq., F.S.A.
Weightman, Hugh, Esq., B.A.
Weyer, His Excellency M. Van de, Belgian Minister.
Whatman, James, Esq.
Wilkinson, Sir J. Gardner, F.R.S., Hon. M.R.S.L., F.G.S.
Williamson, Rev. E. R., M.A., Hon. Sec. to the Bedfordshire General Library.
Willis, Rev. Robert, M.A., F.R.S., F.G.S., Jacksonian Professor of Natural
and Experimental Philosophy, Cambridge.
Wright, Edwin W., Esq.
Wright, J. H. C., Esq.
Wright, Thomas, Esq., M.A., F.S.A.
Wynter, Rev. Philip, D.D., President of St. John's College, Oxford.
Wynter, Rev. James Cecil, M.A., Gatton, Surrey.
Yates, James, Esq., M.A., F.R.S., F.G.S.
Yates, Joseph B., Esq., F.S.A.
PRINTED BY RICHARD AND JOHN E. TATLOR,
RKD L10X COURT, FLEET STREET.
INITIAL FINE OF 25 CENTS
BOOK ON THE DATE D
T
O.V
LD 21-95m-7,'37
5,12.7
THE UNIVERSITY OF CALIFORNIA LIBRARY